Search a number
-
+
224251501620 = 223541409222883
BaseRepresentation
bin1101000011011001101…
…1100101110000110100
3210102211110202121120010
43100312123211300310
512133231341022440
6251004131540220
722126106212236
oct3206633456064
9712743677503
10224251501620
1187117143323
123756545a670
13181ba765533
14abd4ca8256
155c77594580
hex34366e5c34

224251501620 has 96 divisors (see below), whose sum is σ = 644794496640. Its totient is φ = 58198947840.

The previous prime is 224251501613. The next prime is 224251501627. The reversal of 224251501620 is 26105152422.

224251501620 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 (224251501613) and next prime (224251501627).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224251501627) 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 31 ways as a sum of consecutive naturals, for example, 894699 + ... + 1117581.

It is an arithmetic number, because the mean of its divisors is an integer number (6716609340).

Almost surely, 2224251501620 is an apocalyptic number.

224251501620 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 224251501620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322397248320).

224251501620 is an abundant number, since it is smaller than the sum of its proper divisors (420542995020).

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

224251501620 is a wasteful number, since it uses less digits than its factorization.

224251501620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223345 (or 223343 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 224251501620 in words is "two hundred twenty-four billion, two hundred fifty-one million, five hundred one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 409 410 492 615 818 820 1227 1230 1636 2045 2454 2460 4090 4908 6135 8180 12270 16769 24540 33538 50307 67076 83845 100614 167690 201228 222883 251535 335380 445766 503070 668649 891532 1006140 1114415 1337298 2228830 2674596 3343245 4457660 6686490 9138203 13372980 18276406 27414609 36552812 45691015 54829218 91159147 91382030 109658436 137073045 182318294 182764060 273477441 274146090 364636588 455795735 546954882 548292180 911591470 1093909764 1367387205 1823182940 2734774410 3737525027 5469548820 7475050054 11212575081 14950100108 18687625135 22425150162 37375250270 44850300324 56062875405 74750500540 112125750810 224251501620