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23204033040 = 2435176019463
BaseRepresentation
bin10101100111000100…
…010111001000010000
32012220010111000022010
4111213010113020100
5340010213024130
614354302542520
71451006012046
oct254704271020
965803430263
1023204033040
119928087511
1245b6b97a40
13225a429086
1411a1a40396
1590c1b40b0
hex567117210

23204033040 has 160 divisors (see below), whose sum is σ = 76298616576. Its totient is φ = 5813452800.

The previous prime is 23204033011. The next prime is 23204033051. The reversal of 23204033040 is 4033040232.

It is a super-3 number, since 3×232040330403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23204032998 and 23204033016.

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, 2447349 + ... + 2456811.

Almost surely, 223204033040 is an apocalyptic number.

23204033040 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 23204033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38149308288).

23204033040 is an abundant number, since it is smaller than the sum of its proper divisors (53094583536).

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

23204033040 is a wasteful number, since it uses less digits than its factorization.

23204033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 23204033040 its reverse (4033040232), we get a palindrome (27237073272).

The spelling of 23204033040 in words is "twenty-three billion, two hundred four million, thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 601 680 816 1020 1202 1360 1803 2040 2404 3005 3606 4080 4808 6010 7212 9015 9463 9616 10217 12020 14424 18030 18926 20434 24040 28389 28848 30651 36060 37852 40868 47315 48080 51085 56778 61302 72120 75704 81736 94630 102170 113556 122604 141945 144240 151408 153255 160871 163472 189260 204340 227112 245208 283890 306510 321742 378520 408680 454224 482613 490416 567780 613020 643484 757040 804355 817360 965226 1135560 1226040 1286968 1608710 1930452 2271120 2413065 2452080 2573936 3217420 3860904 4826130 5687263 6434840 7721808 9652260 11374526 12869680 17061789 19304520 22749052 28436315 34123578 38609040 45498104 56872630 68247156 85308945 90996208 96683471 113745260 136494312 170617890 193366942 227490520 272988624 290050413 341235780 386733884 454981040 483417355 580100826 682471560 773467768 966834710 1160201652 1364943120 1450252065 1546935536 1933669420 2320403304 2900504130 3867338840 4640806608 5801008260 7734677680 11602016520 23204033040