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264254232 = 233115711753
BaseRepresentation
bin11111100000000…
…11001100011000
3200102020111122210
433300003030120
51020122113412
642115515120
76356060334
oct1760031430
9612214583
10264254232
1112618a130
12745b8aa0
1342993768
142714a7c4
15182ec83c
hexfc03318

264254232 has 64 divisors (see below), whose sum is σ = 722367360. Its totient is φ = 79891200.

The previous prime is 264254227. The next prime is 264254267. The reversal of 264254232 is 232452462.

264254232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 264254232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149868 + ... + 151620.

It is an arithmetic number, because the mean of its divisors is an integer number (11286990).

Almost surely, 2264254232 is an apocalyptic number.

264254232 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 264254232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361183680).

264254232 is an abundant number, since it is smaller than the sum of its proper divisors (458113128).

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

264254232 is a wasteful number, since it uses less digits than its factorization.

264254232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 264254232 is about 16255.8983756666. The cubic root of 264254232 is about 641.7127236370.

The spelling of 264254232 in words is "two hundred sixty-four million, two hundred fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 571 1142 1713 1753 2284 3426 3506 4568 5259 6281 6852 7012 10518 12562 13704 14024 18843 19283 21036 25124 37686 38566 42072 50248 57849 75372 77132 115698 150744 154264 231396 462792 1000963 2001926 3002889 4003852 6005778 8007704 11010593 12011556 22021186 24023112 33031779 44042372 66063558 88084744 132127116 264254232