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23213313320 = 23529612511307
BaseRepresentation
bin10101100111100111…
…110000110100101000
32012220202221111110012
4111213213300310220
5340020102011240
614355233511052
71451150623211
oct254747606450
965822844405
1023213313320
11993234596a
1245ba112488
13225c328172
1411a2d78408
1590cde8b65
hex5679f0d28

23213313320 has 128 divisors (see below), whose sum is σ = 55177718400. Its totient is φ = 8776320000.

The previous prime is 23213313307. The next prime is 23213313337. The reversal of 23213313320 is 2331331232.

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, 17760107 + ... + 17761413.

It is an arithmetic number, because the mean of its divisors is an integer number (431075925).

Almost surely, 223213313320 is an apocalyptic number.

23213313320 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 23213313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588859200).

23213313320 is an abundant number, since it is smaller than the sum of its proper divisors (31964405080).

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

23213313320 is a wasteful number, since it uses less digits than its factorization.

23213313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 23213313320 its reverse (2331331232), we get a palindrome (25544644552).

The spelling of 23213313320 in words is "twenty-three billion, two hundred thirteen million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 61 116 122 145 232 244 251 290 305 488 502 580 610 1004 1160 1220 1255 1307 1769 2008 2440 2510 2614 3538 5020 5228 6535 7076 7279 8845 10040 10456 13070 14152 14558 15311 17690 26140 29116 30622 35380 36395 37903 52280 58232 61244 70760 72790 75806 76555 79727 122488 145580 151612 153110 159454 189515 291160 303224 306220 318908 328057 379030 398635 444019 612440 637816 656114 758060 797270 888038 1312228 1516120 1594540 1640285 1776076 2220095 2312083 2624456 3189080 3280570 3552152 4440190 4624166 6561140 8880380 9248332 9513653 11560415 13122280 17760760 18496664 19027306 20011477 23120830 38054612 40022954 46241660 47568265 76109224 80045908 92483320 95136530 100057385 160091816 190273060 200114770 380546120 400229540 580332833 800459080 1160665666 2321331332 2901664165 4642662664 5803328330 11606656660 23213313320