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172260252 = 2232171731627
BaseRepresentation
bin10100100010001…
…11101110011100
3110000010201122100
422101013232130
5323044312002
625032045100
74161121323
oct1221075634
9400121570
10172260252
118926674a
1249833790
13298c4058
1418c410ba
15101ca11c
hexa447b9c

172260252 has 72 divisors (see below), whose sum is σ = 463999536. Its totient is φ = 53697024.

The previous prime is 172260239. The next prime is 172260259. The reversal of 172260252 is 252062271.

172260252 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 602 + 52 = 666.

172260252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172260259) 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, 105063 + ... + 106689.

It is an arithmetic number, because the mean of its divisors is an integer number (6444438).

Almost surely, 2172260252 is an apocalyptic number.

172260252 is a gapful number since it is divisible by the number (12) 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 172260252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231999768).

172260252 is an abundant number, since it is smaller than the sum of its proper divisors (291739284).

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

172260252 is a wasteful number, since it uses less digits than its factorization.

172260252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 172260252 is about 13124.7953126896. The cubic root of 172260252 is about 556.4101273291.

The spelling of 172260252 in words is "one hundred seventy-two million, two hundred sixty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 173 204 306 346 519 612 692 1038 1557 1627 2076 2941 3114 3254 4881 5882 6228 6508 8823 9762 11764 14643 17646 19524 26469 27659 29286 35292 52938 55318 58572 82977 105876 110636 165954 248931 281471 331908 497862 562942 844413 995724 1125884 1688826 2533239 3377652 4785007 5066478 9570014 10132956 14355021 19140028 28710042 43065063 57420084 86130126 172260252