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155260224 = 2632725501
BaseRepresentation
bin10010100000100…
…01010101000000
3101211011000222200
421100101111000
5304221311344
623223433200
73563455500
oct1120212500
9354130880
10155260224
117a705339
1243bb5800
1326221272
1416897a00
15d96d069
hex9411540

155260224 has 126 divisors (see below), whose sum is σ = 517776714. Its totient is φ = 44352000.

The previous prime is 155260187. The next prime is 155260247. The reversal of 155260224 is 422062551.

155260224 is a `hidden beast` number, since 1 + 5 + 52 + 602 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154554624 + 705600 = 12432^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25474 + ... + 30974.

It is an arithmetic number, because the mean of its divisors is an integer number (4109339).

Almost surely, 2155260224 is an apocalyptic number.

155260224 is a gapful number since it is divisible by the number (14) 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 155260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258888357).

155260224 is an abundant number, since it is smaller than the sum of its proper divisors (362516490).

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

155260224 is a wasteful number, since it uses less digits than its factorization.

155260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 155260224 is about 12460.3460626100. The cubic root of 155260224 is about 537.4689784873.

It can be divided in two parts, 1552 and 60224, that added together give a triangular number (61776 = T351).

The spelling of 155260224 in words is "one hundred fifty-five million, two hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 5501 7056 9408 11002 14112 16503 22004 28224 33006 38507 44008 49509 66012 77014 88016 99018 115521 132024 154028 176032 198036 231042 264048 269549 308056 346563 352064 396072 462084 528096 539098 616112 693126 792144 808647 924168 1056192 1078196 1232224 1386252 1584288 1617294 1848336 2156392 2425941 2464448 2772504 3168576 3234588 3696672 4312784 4851882 5545008 6469176 7393344 8625568 9703764 11090016 12938352 17251136 19407528 22180032 25876704 38815056 51753408 77630112 155260224