Search a number
-
+
233640472 = 231322959101
BaseRepresentation
bin11011110110100…
…01001000011000
3121021122011110211
431323101020120
5434302443342
635103420504
75534624362
oct1573211030
9537564424
10233640472
1110a97a5aa
12662b4734
1339535300
142305bd32
15157a1c17
hexded1218

233640472 has 96 divisors (see below), whose sum is σ = 503982000. Its totient is φ = 101337600.

The previous prime is 233640467. The next prime is 233640487. The reversal of 233640472 is 274046332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2313222 + ... + 2313322.

Almost surely, 2233640472 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 233640472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251991000).

233640472 is an abundant number, since it is smaller than the sum of its proper divisors (270341528).

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

233640472 is a wasteful number, since it uses less digits than its factorization.

233640472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The square root of 233640472 is about 15285.3024831045. The cubic root of 233640472 is about 615.9082550159.

The spelling of 233640472 in words is "two hundred thirty-three million, six hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 29 52 58 59 101 104 116 118 169 202 232 236 338 377 404 472 676 754 767 808 1313 1352 1508 1534 1711 2626 2929 3016 3068 3422 4901 5252 5858 5959 6136 6844 9802 9971 10504 11716 11918 13688 17069 19604 19942 22243 23432 23836 34138 38077 39208 39884 44486 47672 68276 76154 77467 79768 88972 136552 152308 154934 172811 177944 289159 304616 309868 345622 495001 578318 619736 691244 990002 1007071 1156636 1382488 1980004 2014142 2246543 2313272 3960008 4028284 4493086 8056568 8986172 17972344 29205059 58410118 116820236 233640472