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232700104 = 237133753163
BaseRepresentation
bin11011101111010…
…11100011001000
3121012212101112101
431313223203020
5434032400404
635031323144
75523626650
oct1567534310
9535771471
10232700104
1110a39803a
1265b204b4
1339296290
1422c95360
15156682a4
hexddeb8c8

232700104 has 128 divisors (see below), whose sum is σ = 565367040. Its totient is φ = 87340032.

The previous prime is 232700099. The next prime is 232700113. The reversal of 232700104 is 401007232.

It is a super-2 number, since 2×2327001042 = 108298676803221632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427527 + ... + 1427689.

It is an arithmetic number, because the mean of its divisors is an integer number (4416930).

Almost surely, 2232700104 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 232700104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282683520).

232700104 is an abundant number, since it is smaller than the sum of its proper divisors (332666936).

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

232700104 is a wasteful number, since it uses less digits than its factorization.

232700104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 232700104 is about 15254.5109393910. The cubic root of 232700104 is about 615.0808310264.

Adding to 232700104 its reverse (401007232), we get a palindrome (633707336).

It can be divided in two parts, 232 and 700104, that added together give a triangular number (700336 = T1183).

The spelling of 232700104 in words is "two hundred thirty-two million, seven hundred thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 53 56 74 91 104 106 148 163 182 212 259 296 326 364 371 424 481 518 652 689 728 742 962 1036 1141 1304 1378 1484 1924 1961 2072 2119 2282 2756 2968 3367 3848 3922 4238 4564 4823 5512 6031 6734 7844 8476 8639 9128 9646 12062 13468 13727 14833 15688 16952 17278 19292 24124 25493 26936 27454 29666 34556 38584 42217 48248 50986 54908 59332 60473 69112 78403 84434 101972 109816 112307 118664 120946 156806 168868 178451 203944 224614 241892 313612 319643 337736 356902 449228 483784 548821 627224 639286 713804 786149 898456 1097642 1278572 1427608 1572298 2195284 2237501 2557144 3144596 4155359 4390568 4475002 6289192 8310718 8950004 16621436 17900008 29087513 33242872 58175026 116350052 232700104