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233157990 = 23513678923
BaseRepresentation
bin11011110010110…
…11010101100110
3121020201122122010
431321123111212
5434142023430
635045215050
75530544622
oct1571332546
9536648563
10233157990
1110a68005a
1266101486
13393c6810
1422d74182
1515708cb0
hexde5b566

233157990 has 64 divisors (see below), whose sum is σ = 611686656. Its totient is φ = 56529792.

The previous prime is 233157983. The next prime is 233158001. The reversal of 233157990 is 99751332.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 21669 + ... + 30591.

It is an arithmetic number, because the mean of its divisors is an integer number (9557604).

Almost surely, 2233157990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233157990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305843328).

233157990 is an abundant number, since it is smaller than the sum of its proper divisors (378528666).

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

233157990 is a wasteful number, since it uses less digits than its factorization.

233157990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 233157990 is about 15269.5117800144. The cubic root of 233157990 is about 615.4839999862.

The spelling of 233157990 in words is "two hundred thirty-three million, one hundred fifty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 871 1005 1742 2010 2613 4355 5226 8710 8923 13065 17846 26130 26769 44615 53538 89230 115999 133845 231998 267690 347997 579995 597841 695994 1159990 1195682 1739985 1793523 2989205 3479970 3587046 5978410 7771933 8967615 15543866 17935230 23315799 38859665 46631598 77719330 116578995 233157990