Search a number
-
+
233112332113220 = 22574614264384701
BaseRepresentation
bin110101000000001110110001…
…101111111001010101000100
31010120101022200020021200210102
4311000032301233321111010
5221023303024010110340
62143442154343143232
7100046544621332360
oct6500166157712504
91116338606250712
10233112332113220
116830542628538a
122218a894444b18
13a00c524934b71
14417c9a8ab82a0
151be3bc02bb215
hexd403b1bf9544

233112332113220 has 96 divisors (see below), whose sum is σ = 560702965084416. Its totient is φ = 79748044992000.

The previous prime is 233112332113181. The next prime is 233112332113223. The reversal of 233112332113220 is 22311233211332.

It is not an unprimeable number, because it can be changed into a prime (233112332113223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2752136870 + ... + 2752221570.

It is an arithmetic number, because the mean of its divisors is an integer number (5840655886296).

Almost surely, 2233112332113220 is an apocalyptic number.

233112332113220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233112332113220 is an abundant number, since it is smaller than the sum of its proper divisors (327590632971196).

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

233112332113220 is a wasteful number, since it uses less digits than its factorization.

233112332113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127821 (or 127819 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 233112332113220 its reverse (22311233211332), we get a palindrome (255423565324552).

The spelling of 233112332113220 in words is "two hundred thirty-three trillion, one hundred twelve billion, three hundred thirty-two million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 461 922 1844 2305 3227 4610 6454 9220 12908 16135 32270 42643 64540 84701 85286 169402 170572 213215 298501 338804 423505 426430 592907 597002 847010 852860 1185814 1194004 1492505 1694020 2371628 2964535 2985010 5929070 5970020 11858140 19658423 39047161 39316846 78094322 78633692 98292115 137608961 156188644 195235805 196584230 273330127 275217922 390471610 393168460 546660254 550435844 688044805 780943220 1093320508 1366650635 1376089610 2733301270 2752179220 3611904743 5466602540 7223809486 14447618972 18059523715 25283333201 36119047430 50566666402 72238094860 101133332804 126416666005 252833332010 505666664020 1665088086523 3330176173046 6660352346092 8325440432615 11655616605661 16650880865230 23311233211322 33301761730460 46622466422644 58278083028305 116556166056610 233112332113220