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213525156 = 223132814871
BaseRepresentation
bin11001011101000…
…10001010100100
3112212210012110010
430232202022210
5414130301111
633104330220
75201635215
oct1456421244
9485705403
10213525156
11aa590679
125b613970
1335311560
142050340c
1513b2baa6
hexcba22a4

213525156 has 48 divisors (see below), whose sum is σ = 538570368. Its totient is φ = 65452800.

The previous prime is 213525149. The next prime is 213525163. The reversal of 213525156 is 651525312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213525149) and next prime (213525163).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41401 + ... + 46271.

It is an arithmetic number, because the mean of its divisors is an integer number (11220216).

Almost surely, 2213525156 is an apocalyptic number.

213525156 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a pronic number, being equal to 14612×14613.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213525156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269285184).

213525156 is an abundant number, since it is smaller than the sum of its proper divisors (325045212).

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

213525156 is a wasteful number, since it uses less digits than its factorization.

213525156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5172 (or 5170 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 213525156 is about 14612.4999914457. The cubic root of 213525156 is about 597.6996698504.

The spelling of 213525156 in words is "two hundred thirteen million, five hundred twenty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 281 562 843 1124 1686 3372 3653 4871 7306 9742 10959 14612 14613 19484 21918 29226 43836 58452 63323 126646 189969 253292 379938 759876 1368751 2737502 4106253 5475004 8212506 16425012 17793763 35587526 53381289 71175052 106762578 213525156