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232201056 = 2534753971
BaseRepresentation
bin11011101011100…
…01101101100000
3121011221000222010
431311301231200
5433420413211
635012512520
75516451003
oct1565615540
9534830863
10232201056
1110a0870aa
126591b740
1339150099
1422ba553a
15155ba4a6
hexdd71b60

232201056 has 96 divisors (see below), whose sum is σ = 634894848. Its totient is φ = 74247680.

The previous prime is 232201051. The next prime is 232201061. The reversal of 232201056 is 650102232.

232201056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232201051) and next prime (232201061).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232201051) 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, 238651 + ... + 239621.

It is an arithmetic number, because the mean of its divisors is an integer number (6613488).

Almost surely, 2232201056 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 232201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317447424).

232201056 is an abundant number, since it is smaller than the sum of its proper divisors (402693792).

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

232201056 is a wasteful number, since it uses less digits than its factorization.

232201056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 232201056 is about 15238.1447689671. The cubic root of 232201056 is about 614.6408161079.

Adding to 232201056 its reverse (650102232), we get a palindrome (882303288).

The spelling of 232201056 in words is "two hundred thirty-two million, two hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 94 96 106 141 159 188 212 282 318 376 424 564 636 752 848 971 1128 1272 1504 1696 1942 2256 2491 2544 2913 3884 4512 4982 5088 5826 7473 7768 9964 11652 14946 15536 19928 23304 29892 31072 39856 45637 46608 51463 59784 79712 91274 93216 102926 119568 136911 154389 182548 205852 239136 273822 308778 365096 411704 547644 617556 730192 823408 1095288 1235112 1460384 1646816 2190576 2418761 2470224 4381152 4837522 4940448 7256283 9675044 14512566 19350088 29025132 38700176 58050264 77400352 116100528 232201056