Search a number
-
+
231247958016 = 212318819007
BaseRepresentation
bin1101011101011101110…
…0111101000000000000
3211002220001211102102210
43113113130331000000
512242043434124031
6254122302142120
722464353132265
oct3272734750000
9732801742383
10231247958016
118a087497599
1238998581940
1318a640ca56a
14b29a18126c
15603690d746
hex35d773d000

231247958016 has 52 divisors (see below), whose sum is σ = 616585978112. Its totient is φ = 77082648576.

The previous prime is 231247957981. The next prime is 231247958017. The reversal of 231247958016 is 610859742132.

231247958016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231247958017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9397216 + ... + 9421791.

It is an arithmetic number, because the mean of its divisors is an integer number (11857422656).

It is a 1-persistent number, because it is pandigital, but 2⋅231247958016 = 462495916032 is not.

Almost surely, 2231247958016 is an apocalyptic number.

It is an amenable number.

231247958016 is an abundant number, since it is smaller than the sum of its proper divisors (385338020096).

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

231247958016 is an equidigital number, since it uses as much as digits as its factorization.

231247958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18819034 (or 18819012 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 231247958016 in words is "two hundred thirty-one billion, two hundred forty-seven million, nine hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 18819007 37638014 56457021 75276028 112914042 150552056 225828084 301104112 451656168 602208224 903312336 1204416448 1806624672 2408832896 3613249344 4817665792 7226498688 9635331584 14452997376 19270663168 28905994752 38541326336 57811989504 77082652672 115623979008 231247958016