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224545620 = 223513479601
BaseRepresentation
bin11010110001001…
…00101101010100
3120122112002200110
431120210231110
5424440424440
634140443020
75364414645
oct1530445524
9518462613
10224545620
111058284a2
1263249470
133769c740
1421b716cc
1514aa7080
hexd624b54

224545620 has 96 divisors (see below), whose sum is σ = 679633920. Its totient is φ = 55065600.

The previous prime is 224545583. The next prime is 224545621. The reversal of 224545620 is 26545422.

It is a happy number.

224545620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2245456202 = 100841470922368800, which contains 22 as substring.

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 (224545621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373320 + ... + 373920.

It is an arithmetic number, because the mean of its divisors is an integer number (7079520).

Almost surely, 2224545620 is an apocalyptic number.

224545620 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 224545620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339816960).

224545620 is an abundant number, since it is smaller than the sum of its proper divisors (455088300).

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

224545620 is a wasteful number, since it uses less digits than its factorization.

224545620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 224545620 is about 14984.8463455586. The cubic root of 224545620 is about 607.8104968334.

The spelling of 224545620 in words is "two hundred twenty-four million, five hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 479 601 780 958 1202 1437 1803 1916 2395 2404 2874 3005 3606 4790 5748 6010 6227 7185 7212 7813 9015 9580 12020 12454 14370 15626 18030 18681 23439 24908 28740 31135 31252 36060 37362 39065 46878 62270 74724 78130 93405 93756 117195 124540 156260 186810 234390 287879 373620 468780 575758 863637 1151516 1439395 1727274 2878790 3454548 3742427 4318185 5757580 7484854 8636370 11227281 14969708 17272740 18712135 22454562 37424270 44909124 56136405 74848540 112272810 224545620