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233145668 = 227311132377
BaseRepresentation
bin11011110010110…
…00010101000100
3121020201000201202
431321120111010
5434141130133
635045042032
75530463660
oct1571302504
9536630652
10233145668
1110a671878
12660b6318
13393c1022
1422d6d8a0
15157052e8
hexde58544

233145668 has 48 divisors (see below), whose sum is σ = 485796864. Its totient is φ = 95800320.

The previous prime is 233145629. The next prime is 233145677. The reversal of 233145668 is 866541332.

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 15 ways as a sum of consecutive naturals, for example, 96896 + ... + 99272.

It is an arithmetic number, because the mean of its divisors is an integer number (10120768).

Almost surely, 2233145668 is an apocalyptic number.

233145668 is a gapful number since it is divisible by the number (28) 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 233145668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242898432).

233145668 is an abundant number, since it is smaller than the sum of its proper divisors (252651196).

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

233145668 is a wasteful number, since it uses less digits than its factorization.

233145668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2530 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

The square root of 233145668 is about 15269.1082909252. The cubic root of 233145668 is about 615.4731573705.

It can be divided in two parts, 23314 and 5668, that added together give a palindrome (28982).

The spelling of 233145668 in words is "two hundred thirty-three million, one hundred forty-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 113 124 217 226 434 452 791 868 1582 2377 3164 3503 4754 7006 9508 14012 16639 24521 33278 49042 66556 73687 98084 147374 268601 294748 515809 537202 1031618 1074404 1880207 2063236 3760414 7520828 8326631 16653262 33306524 58286417 116572834 233145668