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230233113012 = 223719398314447
BaseRepresentation
bin1101011001101011110…
…1101000000110110100
3211000021100012221210210
43112122331220012310
512233004134104022
6253433450345420
722430251112430
oct3263275500664
9730240187723
10230233113012
1189706654511
123875472b270
1318931a93466
14b20148b9c0
155ec7798a0c
hex359af681b4

230233113012 has 96 divisors (see below), whose sum is σ = 617806651392. Its totient is φ = 65368958976.

The previous prime is 230233112999. The next prime is 230233113023. The reversal of 230233113012 is 210311332032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 230233113012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15929173 + ... + 15943619.

It is an arithmetic number, because the mean of its divisors is an integer number (6435485952).

Almost surely, 2230233113012 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 230233113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308903325696).

230233113012 is an abundant number, since it is smaller than the sum of its proper divisors (387573538380).

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

230233113012 is a wasteful number, since it uses less digits than its factorization.

230233113012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637 (or 15635 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230233113012 its reverse (210311332032), we get a palindrome (440544445044).

The spelling of 230233113012 in words is "two hundred thirty billion, two hundred thirty-three million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 983 1158 1351 1966 2316 2702 2949 3932 4053 5404 5898 6881 8106 11796 13762 14447 16212 20643 27524 28894 41286 43341 57788 82572 86682 101129 173364 189719 202258 303387 379438 404516 569157 606774 758876 1138314 1213548 1328033 2276628 2656066 2788271 3984099 5312132 5576542 7968198 8364813 11153084 14201401 15936396 16729626 19517897 28402802 33459252 39035794 42604203 56805604 58553691 78071588 85208406 99409807 117107382 170416812 198819614 234214764 298229421 397639228 596458842 1192917684 2740870393 5481740786 8222611179 10963481572 16445222358 19186092751 32890444716 38372185502 57558278253 76744371004 115116556506 230233113012