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233476068 = 223737431747
BaseRepresentation
bin11011110101010…
…00111111100100
3121021022210221210
431322220333210
5434232213233
635100111420
75533341150
oct1572507744
9537283853
10233476068
1110a878031
1266235570
13394a8527
1423018060
151576d163
hexdea8fe4

233476068 has 96 divisors (see below), whose sum is σ = 654674944. Its totient is φ = 63358848.

The previous prime is 233476051. The next prime is 233476073. The reversal of 233476068 is 860674332.

It is a super-2 number, since 2×2334760682 = 109022148657481248, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132771 + ... + 134517.

Almost surely, 2233476068 is an apocalyptic number.

233476068 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 233476068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327337472).

233476068 is an abundant number, since it is smaller than the sum of its proper divisors (421198876).

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

233476068 is a wasteful number, since it uses less digits than its factorization.

233476068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 233476068 is about 15279.9236909089. The cubic root of 233476068 is about 615.7637573045.

The spelling of 233476068 in words is "two hundred thirty-three million, four hundred seventy-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 43 74 84 86 111 129 148 172 222 258 259 301 444 516 518 602 777 903 1036 1204 1554 1591 1747 1806 3108 3182 3494 3612 4773 5241 6364 6988 9546 10482 11137 12229 19092 20964 22274 24458 33411 36687 44548 48916 64639 66822 73374 75121 129278 133644 146748 150242 193917 225363 258556 300484 387834 450726 452473 525847 775668 901452 904946 1051694 1357419 1577541 1809892 2103388 2714838 2779477 3155082 5429676 5558954 6310164 8338431 11117908 16676862 19456339 33353724 38912678 58369017 77825356 116738034 233476068