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232301130292 = 227112311220469
BaseRepresentation
bin1101100001011000111…
…0011111001000110100
3211012121110120010012101
43120112032133020310
512301223042132132
6254415003231444
722532432012350
oct3302616371064
9735543503171
10232301130292
118a577a28500
1239031218584
1318ba1363a1a
14b359db0460
1560990e47e7
hex361639f234

232301130292 has 72 divisors (see below), whose sum is σ = 512322894720. Its totient is φ = 90215505600.

The previous prime is 232301130253. The next prime is 232301130293. The reversal of 232301130292 is 292031103232.

232301130292 is digitally balanced in base 2, 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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 232301130292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232301130293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943434 + ... + 1163902.

It is an arithmetic number, because the mean of its divisors is an integer number (7115595760).

Almost surely, 2232301130292 is an apocalyptic number.

232301130292 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232301130292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256161447360).

232301130292 is an abundant number, since it is smaller than the sum of its proper divisors (280021764428).

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

232301130292 is a wasteful number, since it uses less digits than its factorization.

232301130292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220813 (or 220800 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 232301130292 in words is "two hundred thirty-two billion, three hundred one million, one hundred thirty thousand, two hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 311 484 622 847 1244 1694 2177 3388 3421 4354 6842 8708 13684 23947 37631 47894 75262 95788 150524 220469 263417 440938 526834 881876 1053668 1543283 2425159 3086566 4850318 6173132 9700636 16976113 26676749 33952226 53353498 67904452 68565859 106706996 137131718 186737243 274263436 373474486 479961013 746948972 754224449 959922026 1508448898 1919844052 3016897796 5279571143 8296468939 10559142286 16592937878 21118284572 33185875756 58075282573 116150565146 232301130292