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232011252 = 2232112989227
BaseRepresentation
bin11011101010000…
…11010111110100
3121011120101121100
431311003113310
5433343330002
635004450100
75515030434
oct1565032764
9534511540
10232011252
11109a67540
1265849930
13390b4885
1422b562c4
151557e11c
hexdd435f4

232011252 has 144 divisors (see below), whose sum is σ = 672235200. Its totient is φ = 66823680.

The previous prime is 232011239. The next prime is 232011271. The reversal of 232011252 is 252110232.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021963 + ... + 1022189.

It is an arithmetic number, because the mean of its divisors is an integer number (4668300).

Almost surely, 2232011252 is an apocalyptic number.

232011252 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 232011252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

232011252 is an abundant number, since it is smaller than the sum of its proper divisors (440223948).

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

232011252 is a wasteful number, since it uses less digits than its factorization.

232011252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 361 counting only the distinct ones).

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

The square root of 232011252 is about 15231.9155722450. The cubic root of 232011252 is about 614.4732988010.

Adding to 232011252 its reverse (252110232), we get a palindrome (484121484).

The spelling of 232011252 in words is "two hundred thirty-two million, eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 89 99 116 132 174 178 198 227 261 267 319 348 356 396 454 522 534 638 681 801 908 957 979 1044 1068 1276 1362 1602 1914 1958 2043 2497 2581 2724 2871 2937 3204 3828 3916 4086 4994 5162 5742 5874 6583 7491 7743 8172 8811 9988 10324 11484 11748 13166 14982 15486 17622 19749 20203 22473 23229 26332 28391 29964 30972 35244 39498 40406 44946 46458 56782 59247 60609 72413 78996 80812 85173 89892 92916 113564 118494 121218 144826 170346 181827 217239 222233 236988 242436 255519 289652 340692 363654 434478 444466 511038 585887 651717 666699 727308 868956 888932 1022076 1171774 1303434 1333398 1757661 2000097 2343548 2606868 2666796 3515322 4000194 5272983 6444757 7030644 8000388 10545966 12889514 19334271 21091932 25779028 38668542 58002813 77337084 116005626 232011252