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30237152 = 25111731163
BaseRepresentation
bin111001101011…
…0000111100000
32002220012120112
41303112013200
530220042102
63000030452
7515003651
oct163260740
962805515
1030237152
1116082690
12a162428
136358c0a
144031528
1529c4252
hex1cd61e0

30237152 has 96 divisors (see below), whose sum is σ = 71414784. Its totient is φ = 12441600.

The previous prime is 30237139. The next prime is 30237161. The reversal of 30237152 is 25173203.

It is a super-2 number, since 2×302371522 = 1828570722142208, which contains 22 as substring.

It is a congruent number.

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, 185423 + ... + 185585.

It is an arithmetic number, because the mean of its divisors is an integer number (743904).

Almost surely, 230237152 is an apocalyptic number.

30237152 is a gapful number since it is divisible by the number (32) 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 30237152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35707392).

30237152 is an abundant number, since it is smaller than the sum of its proper divisors (41177632).

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

30237152 is a wasteful number, since it uses less digits than its factorization.

30237152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 30237152 is about 5498.8318759533. The cubic root of 30237152 is about 311.5398652331.

The spelling of 30237152 in words is "thirty million, two hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 68 88 124 136 163 176 187 248 272 326 341 352 374 496 527 544 652 682 748 992 1054 1304 1364 1496 1793 2108 2608 2728 2771 2992 3586 4216 5053 5216 5456 5542 5797 5984 7172 8432 10106 10912 11084 11594 14344 16864 20212 22168 23188 28688 30481 40424 44336 46376 55583 57376 60962 80848 85901 88672 92752 111166 121924 161696 171802 185504 222332 243848 343604 444664 487696 687208 889328 944911 975392 1374416 1778656 1889822 2748832 3779644 7559288 15118576 30237152