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233049258 = 233133110709
BaseRepresentation
bin11011110010000…
…00110010101010
3121020112010111000
431321000302222
5434130034013
635043015430
75526612621
oct1571006252
9536463430
10233049258
1110a6063a2
126606a576
1339389190
1422d466b8
15156d6973
hexde40caa

233049258 has 64 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 69387840.

The previous prime is 233049253. The next prime is 233049283. The reversal of 233049258 is 852940332.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (233049251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16408 + ... + 27116.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2233049258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233049258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

233049258 is an abundant number, since it is smaller than the sum of its proper divisors (342720342).

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

233049258 is a wasteful number, since it uses less digits than its factorization.

233049258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10758 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 233049258 is about 15265.9509366433. The cubic root of 233049258 is about 615.3883092030.

The spelling of 233049258 in words is "two hundred thirty-three million, forty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 702 806 837 1209 1674 2418 3627 7254 10709 10881 21418 21762 32127 64254 96381 139217 192762 278434 289143 331979 417651 578286 663958 835302 995937 1252953 1991874 2505906 2987811 3758859 4315727 5975622 7517718 8631454 8963433 12947181 17926866 25894362 38841543 77683086 116524629 233049258