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233120040 = 23356131847
BaseRepresentation
bin11011110010100…
…10000100101000
3121020122201120120
431321102010220
5434134320130
635044323240
75530326156
oct1571220450
9536581516
10233120040
1110a65459a
12660a3520
13393b246a
1422d643d6
15156ec910
hexde52128

233120040 has 64 divisors (see below), whose sum is σ = 710847360. Its totient is φ = 61144320.

The previous prime is 233120039. The next prime is 233120053. The reversal of 233120040 is 40021332.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8604 + ... + 23243.

It is an arithmetic number, because the mean of its divisors is an integer number (11106990).

Almost surely, 2233120040 is an apocalyptic number.

233120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233120040 is an abundant number, since it is smaller than the sum of its proper divisors (477727320).

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

233120040 is a wasteful number, since it uses less digits than its factorization.

233120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31922 (or 31918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 233120040 is about 15268.2690571001. The cubic root of 233120040 is about 615.4506050549.

Adding to 233120040 its reverse (40021332), we get a palindrome (273141372).

The spelling of 233120040 in words is "two hundred thirty-three million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 31847 63694 95541 127388 159235 191082 254776 318470 382164 477705 636940 764328 955410 1273880 1910820 1942667 3821640 3885334 5828001 7770668 9713335 11656002 15541336 19426670 23312004 29140005 38853340 46624008 58280010 77706680 116560020 233120040