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23130132220 = 225131910743759
BaseRepresentation
bin10101100010101010…
…011100111011111100
32012200222102110102201
4111202222130323330
5334332303212340
614343103001244
71446120610546
oct254252347374
965628373381
1023130132220
11989a3a1758
124596299224
132248022b90
141195cc4696
1590596779a
hex562a9cefc

23130132220 has 96 divisors (see below), whose sum is σ = 55578700800. Its totient is φ = 8015065344.

The previous prime is 23130132211. The next prime is 23130132257. The reversal of 23130132220 is 2223103132.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 506701 + ... + 550459.

It is an arithmetic number, because the mean of its divisors is an integer number (578944800).

Almost surely, 223130132220 is an apocalyptic number.

23130132220 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 23130132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27789350400).

23130132220 is an abundant number, since it is smaller than the sum of its proper divisors (32448568580).

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

23130132220 is a wasteful number, since it uses less digits than its factorization.

23130132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43907 (or 43905 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 23130132220 its reverse (2223103132), we get a palindrome (25353235352).

The spelling of 23130132220 in words is "twenty-three billion, one hundred thirty million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 107 130 190 214 247 260 380 428 494 535 988 1070 1235 1391 2033 2140 2470 2782 4066 4940 5564 6955 8132 10165 13910 20330 26429 27820 40660 43759 52858 87518 105716 132145 175036 218795 264290 437590 528580 568867 831421 875180 1137734 1662842 2275468 2844335 3325684 4157105 4682213 5688670 8314210 9364426 10808473 11377340 16628420 18728852 21616946 23411065 43233892 46822130 54042365 60868769 88962047 93644260 108084730 121737538 177924094 216169460 243475076 304343845 355848188 444810235 608687690 889620470 1156506611 1217375380 1779240940 2313013222 4626026444 5782533055 11565066110 23130132220