Search a number
-
+
231640128 = 2633373623
BaseRepresentation
bin11011100111010…
…00110001000000
3121010212112112000
431303220301000
5433244441003
634552504000
75511623436
oct1563506100
9533775460
10231640128
11109833725
12656ab000
1338cb4985
1422a9ad56
15155091a3
hexdce8c40

231640128 has 112 divisors (see below), whose sum is σ = 699576960. Its totient is φ = 75105792.

The previous prime is 231640121. The next prime is 231640163. The reversal of 231640128 is 821046132.

231640128 is a `hidden beast` number, since 2 + 3 + 1 + 640 + 12 + 8 = 666.

It is a super-3 number, since 3×2316401283 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (231640121) 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, 62125 + ... + 65747.

Almost surely, 2231640128 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 231640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349788480).

231640128 is an abundant number, since it is smaller than the sum of its proper divisors (467936832).

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

231640128 is a wasteful number, since it uses less digits than its factorization.

231640128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 231640128 is about 15219.7282498736. The cubic root of 231640128 is about 614.1454878459.

The spelling of 231640128 in words is "two hundred thirty-one million, six hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3623 3996 5328 7104 7246 7992 10656 10869 14492 15984 21312 21738 28984 31968 32607 43476 57968 63936 65214 86952 97821 115936 130428 134051 173904 195642 231872 260856 268102 347808 391284 402153 521712 536204 695616 782568 804306 1043424 1072408 1206459 1565136 1608612 2086848 2144816 2412918 3130272 3217224 3619377 4289632 4825836 6260544 6434448 7238754 8579264 9651672 12868896 14477508 19303344 25737792 28955016 38606688 57910032 77213376 115820064 231640128