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233681064 = 23359227727
BaseRepresentation
bin11011110110110…
…11000010101000
3121021201020011020
431323123002220
5434310243224
635104332440
75535153621
oct1573330250
9537636136
10233681064
1110a9a8051
1266314120
133954a926
142306ca48
15157adc79
hexdedb0a8

233681064 has 64 divisors (see below), whose sum is σ = 597542400. Its totient is φ = 76131264.

The previous prime is 233681047. The next prime is 233681087. The reversal of 233681064 is 460186332.

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, 321069 + ... + 321795.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2233681064 is an apocalyptic number.

233681064 is a gapful number since it is divisible by the number (24) 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 233681064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

233681064 is an abundant number, since it is smaller than the sum of its proper divisors (363861336).

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

233681064 is a wasteful number, since it uses less digits than its factorization.

233681064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 233681064 is about 15286.6302369096. The cubic root of 233681064 is about 615.9439216392.

The spelling of 233681064 in words is "two hundred thirty-three million, six hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 227 236 354 454 472 681 708 727 908 1362 1416 1454 1816 2181 2724 2908 4362 5448 5816 8724 13393 17448 26786 40179 42893 53572 80358 85786 107144 128679 160716 165029 171572 257358 321432 330058 343144 495087 514716 660116 990174 1029432 1320232 1980348 3960696 9736711 19473422 29210133 38946844 58420266 77893688 116840532 233681064