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232166112 = 2532989937
BaseRepresentation
bin11011101011010…
…01001011100000
3121011212021000220
431311221023200
5433413303422
635012043040
75516244063
oct1565511340
9534767026
10232166112
1110a062922
1265903480
133913a1c9
1422b968da
15155aee5c
hexdd692e0

232166112 has 96 divisors (see below), whose sum is σ = 638215200. Its totient is φ = 73801728.

The previous prime is 232166101. The next prime is 232166119. The reversal of 232166112 is 211661232.

232166112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2321661122 = 107802207122393088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232166119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247308 + ... + 248244.

It is an arithmetic number, because the mean of its divisors is an integer number (6648075).

Almost surely, 2232166112 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 232166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319107600).

232166112 is an abundant number, since it is smaller than the sum of its proper divisors (406049088).

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

232166112 is a wasteful number, since it uses less digits than its factorization.

232166112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 232166112 is about 15236.9981295529. The cubic root of 232166112 is about 614.6099820733.

The spelling of 232166112 in words is "two hundred thirty-two million, one hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 89 96 116 174 178 232 267 348 356 464 534 696 712 928 937 1068 1392 1424 1874 2136 2581 2784 2811 2848 3748 4272 5162 5622 7496 7743 8544 10324 11244 14992 15486 20648 22488 27173 29984 30972 41296 44976 54346 61944 81519 82592 83393 89952 108692 123888 163038 166786 217384 247776 250179 326076 333572 434768 500358 652152 667144 869536 1000716 1304304 1334288 2001432 2418397 2608608 2668576 4002864 4836794 7255191 8005728 9673588 14510382 19347176 29020764 38694352 58041528 77388704 116083056 232166112