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224021445000 = 2335465322871
BaseRepresentation
bin1101000010100010110…
…1111111100110001000
3210102020102212112012120
43100220231333212020
512132243442220000
6250525233011240
722120313602233
oct3205055774610
9712212775176
10224021445000
11870092a1391
12375003b3b20
1318181bb6562
14abb250041a
155c6229e6a0
hex3428b7f988

224021445000 has 160 divisors (see below), whose sum is σ = 700945375680. Its totient is φ = 59644960000.

The previous prime is 224021444993. The next prime is 224021445007. The reversal of 224021445000 is 544120422.

It is a happy number.

224021445000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224021444993) and next prime (224021445007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (224021445007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9783565 + ... + 9806435.

It is an arithmetic number, because the mean of its divisors is an integer number (4380908598).

Almost surely, 2224021445000 is an apocalyptic number.

224021445000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224021445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350472687840).

224021445000 is an abundant number, since it is smaller than the sum of its proper divisors (476923930680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224021445000 is a wasteful number, since it uses less digits than its factorization.

224021445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23553 (or 23534 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 224021445000 its reverse (544120422), we get a palindrome (224565565422).

The spelling of 224021445000 in words is "two hundred twenty-four billion, twenty-one million, four hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 653 750 1000 1250 1306 1500 1875 1959 2500 2612 3000 3265 3750 3918 5000 5224 6530 7500 7836 9795 13060 15000 15672 16325 19590 22871 26120 32650 39180 45742 48975 65300 68613 78360 81625 91484 97950 114355 130600 137226 163250 182968 195900 228710 244875 274452 326500 343065 391800 408125 457420 489750 548904 571775 653000 686130 816250 914840 979500 1143550 1224375 1372260 1632500 1715325 1959000 2287100 2448750 2744520 2858875 3265000 3430650 4574200 4897500 5717750 6861300 8576625 9795000 11435500 13722600 14294375 14934763 17153250 22871000 28588750 29869526 34306500 42883125 44804289 57177500 59739052 68613000 74673815 85766250 89608578 114355000 119478104 149347630 171532500 179217156 224021445 298695260 343065000 358434312 373369075 448042890 597390520 746738150 896085780 1120107225 1493476300 1792171560 1866845375 2240214450 2986952600 3733690750 4480428900 5600536125 7467381500 8960857800 9334226875 11201072250 14934763000 18668453750 22402144500 28002680625 37336907500 44804289000 56005361250 74673815000 112010722500 224021445000