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233312013220 = 2251113495116477
BaseRepresentation
bin1101100101001001111…
…0101100101110100100
3211022012220201021212211
43121102132230232210
512310310333410340
6255103154053204
722566455251036
oct3312236545644
9738186637784
10233312013220
118aa46604840
123927387a204
13190029115c0
14b414351c56
156107c255ea
hex36527acba4

233312013220 has 96 divisors (see below), whose sum is σ = 575762939136. Its totient is φ = 78293952000.

The previous prime is 233312013197. The next prime is 233312013251. The reversal of 233312013220 is 22310213332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 233312013191 and 233312013200.

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, 14151622 + ... + 14168098.

It is an arithmetic number, because the mean of its divisors is an integer number (5997530616).

Almost surely, 2233312013220 is an apocalyptic number.

233312013220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233312013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287881469568).

233312013220 is an abundant number, since it is smaller than the sum of its proper divisors (342450925916).

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

233312013220 is a wasteful number, since it uses less digits than its factorization.

233312013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21461 (or 21459 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 233312013220 its reverse (22310213332), we get a palindrome (255622226552).

The spelling of 233312013220 in words is "two hundred thirty-three billion, three hundred twelve million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 4951 9902 16477 19804 24755 32954 49510 54461 64363 65908 82385 99020 108922 128726 164770 181247 214201 217844 257452 272305 321815 329540 362494 428402 544610 643630 707993 724988 856804 906235 1071005 1089220 1287260 1415986 1812470 2142010 2356211 2831972 3539965 3624940 4284020 4712422 7079930 9424844 11781055 14159860 23562110 47124220 81577627 163155254 326310508 407888135 815776270 897353897 1060509151 1631552540 1794707794 2121018302 3589415588 4242036604 4486769485 5302545755 8973538970 10605091510 11665600661 17947077940 21210183020 23331201322 46662402644 58328003305 116656006610 233312013220