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225152532 = 223211641887
BaseRepresentation
bin11010110101110…
…00111000010100
3120200122221012200
431122320320110
5430114340112
634201444500
75402523243
oct1532707024
9520587180
10225152532
11106102480
12634a0730
1337852a67
1421c8c95a
1514b76cdc
hexd6b8e14

225152532 has 72 divisors (see below), whose sum is σ = 622544832. Its totient is φ = 68044800.

The previous prime is 225152509. The next prime is 225152537. The reversal of 225152532 is 235251522.

225152532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2251525322 = 101387325332022048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225152496 and 225152505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225152537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253393 + ... + 254279.

It is an arithmetic number, because the mean of its divisors is an integer number (8646456).

Almost surely, 2225152532 is an apocalyptic number.

225152532 is a gapful number since it is divisible by the number (22) 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 225152532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311272416).

225152532 is an abundant number, since it is smaller than the sum of its proper divisors (397392300).

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

225152532 is a wasteful number, since it uses less digits than its factorization.

225152532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1544 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 225152532 is about 15005.0835385878. The cubic root of 225152532 is about 608.3576100568.

The spelling of 225152532 in words is "two hundred twenty-five million, one hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 641 887 1282 1774 1923 2564 2661 3548 3846 5322 5769 7051 7692 7983 9757 10644 11538 14102 15966 19514 21153 23076 28204 29271 31932 39028 42306 58542 63459 84612 87813 117084 126918 175626 253836 351252 568567 1137134 1705701 2274268 3411402 5117103 6254237 6822804 10234206 12508474 18762711 20468412 25016948 37525422 56288133 75050844 112576266 225152532