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252101232 = 2432471932
BaseRepresentation
bin11110000011011…
…00001001110000
3122120101001212200
433001230021300
51004014214412
641003223200
76150553005
oct1701541160
9576331780
10252101232
1111a339429
1270517b00
13402c9c36
14256a58ac
15171eb9dc
hexf06c270

252101232 has 90 divisors (see below), whose sum is σ = 724297392. Its totient is φ = 81819648.

The previous prime is 252101219. The next prime is 252101237. The reversal of 252101232 is 232101252.

252101232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252101237) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1306128 + ... + 1306320.

Almost surely, 2252101232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362148696).

252101232 is an abundant number, since it is smaller than the sum of its proper divisors (472196160).

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

252101232 is a wasteful number, since it uses less digits than its factorization.

252101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252101232 is about 15877.6960545288. The cubic root of 252101232 is about 631.7205275054.

Adding to 252101232 its reverse (232101252), we get a palindrome (484202484).

The spelling of 252101232 in words is "two hundred fifty-two million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 193 282 376 386 423 564 579 752 772 846 1128 1158 1544 1692 1737 2256 2316 3088 3384 3474 4632 6768 6948 9071 9264 13896 18142 27213 27792 36284 37249 54426 72568 74498 81639 108852 111747 145136 148996 163278 217704 223494 297992 326556 335241 435408 446988 595984 653112 670482 893976 1306224 1340964 1750703 1787952 2681928 3501406 5252109 5363856 7002812 10504218 14005624 15756327 21008436 28011248 31512654 42016872 63025308 84033744 126050616 252101232