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232350096 = 243111014357
BaseRepresentation
bin11011101100101…
…10000110010000
3121012012121102010
431312112012100
5433440200341
635020022520
75520641346
oct1566260620
9535177363
10232350096
1110a179080
1265991a40
13391a2b84
1422c03996
15155e9716
hexdd96190

232350096 has 80 divisors (see below), whose sum is σ = 661439808. Its totient is φ = 69696000.

The previous prime is 232350091. The next prime is 232350103. The reversal of 232350096 is 690053232.

It is a super-2 number, since 2×2323500962 = 107973134222418432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232350091) 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 15 ways as a sum of consecutive naturals, for example, 51150 + ... + 55506.

Almost surely, 2232350096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232350096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330719904).

232350096 is an abundant number, since it is smaller than the sum of its proper divisors (429089712).

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

232350096 is a wasteful number, since it uses less digits than its factorization.

232350096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 232350096 is about 15243.0343435945. The cubic root of 232350096 is about 614.7722919310.

The spelling of 232350096 in words is "two hundred thirty-two million, three hundred fifty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4357 4444 4848 6666 8714 8888 13071 13332 17428 17776 26142 26664 34856 47927 52284 53328 69712 95854 104568 143781 191708 209136 287562 383416 440057 575124 766832 880114 1150248 1320171 1760228 2300496 2640342 3520456 4840627 5280684 7040912 9681254 10561368 14521881 19362508 21122736 29043762 38725016 58087524 77450032 116175048 232350096