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233630768 = 2472085989
BaseRepresentation
bin11011110110011…
…10110000110000
3121021121200011102
431323032300300
5434302141033
635103303532
75534554160
oct1573166060
9537550142
10233630768
1110a973288
12662aaba8
1339530a77
14230585a0
151579dde8
hexdecec30

233630768 has 20 divisors (see below), whose sum is σ = 517325520. Its totient is φ = 100127424.

The previous prime is 233630767. The next prime is 233630797. The reversal of 233630768 is 867036332.

It is not an unprimeable number, because it can be changed into a prime (233630767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1042883 + ... + 1043106.

It is an arithmetic number, because the mean of its divisors is an integer number (25866276).

Almost surely, 2233630768 is an apocalyptic number.

233630768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233630768 is an abundant number, since it is smaller than the sum of its proper divisors (283694752).

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

233630768 is a wasteful number, since it uses less digits than its factorization.

233630768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086004 (or 2085998 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 233630768 is about 15284.9850506960. The cubic root of 233630768 is about 615.8997278738.

The spelling of 233630768 in words is "two hundred thirty-three million, six hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 2085989 4171978 8343956 14601923 16687912 29203846 33375824 58407692 116815384 233630768