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2213356015104 = 29313121391381
BaseRepresentation
bin100000001101010110010…
…011001000111000000000
321211121001120211101211120
4200031112103020320000
5242230423114440404
64412445100512240
7315624011465433
oct40152623107000
97747046741746
102213356015104
1178375184a8a3
122b8b6854b680
13130945936260
14791ac6d181a
153c893c799d9
hex203564c8e00

2213356015104 has 160 divisors (see below), whose sum is σ = 6355401707424. Its totient is φ = 680463728640.

The previous prime is 2213356015099. The next prime is 2213356015121. The reversal of 2213356015104 is 4015106533122.

It is a super-2 number, since 2×22133560151042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24175494 + ... + 24266874.

Almost surely, 22213356015104 is an apocalyptic number.

2213356015104 is a gapful number since it is divisible by the number (24) 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 2213356015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177700853712).

2213356015104 is an abundant number, since it is smaller than the sum of its proper divisors (4142045692320).

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

2213356015104 is a wasteful number, since it uses less digits than its factorization.

2213356015104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92628 (or 92612 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 2213356015104 in words is "two trillion, two hundred thirteen billion, three hundred fifty-six million, fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1213 1248 1536 1664 2426 2496 3328 3639 4852 4992 6656 7278 9704 9984 14556 15769 19408 19968 29112 31538 38816 47307 58224 63076 77632 91381 94614 116448 126152 155264 182762 189228 232896 252304 274143 310528 365524 378456 465792 504608 548286 621056 731048 756912 931584 1009216 1096572 1187953 1462096 1513824 1863168 2018432 2193144 2375906 2924192 3027648 3563859 4036864 4386288 4751812 5848384 6055296 7127718 8073728 8772576 9503624 11696768 12110592 14255436 17545152 19007248 23393536 24221184 28510872 35090304 38014496 46787072 57021744 70180608 76028992 110845153 114043488 140361216 152057984 221690306 228086976 304115968 332535459 443380612 456173952 608231936 665070918 886761224 912347904 1330141836 1440986989 1773522448 1824695808 2660283672 2881973978 3547044896 4322960967 5320567344 5763947956 7094089792 8645921934 10641134688 11527895912 14188179584 17291843868 21282269376 23055791824 28376359168 34583687736 42564538752 46111583648 56752718336 69167375472 85129077504 92223167296 138334750944 170258155008 184446334592 276669501888 368892669184 553339003776 737785338368 1106678007552 2213356015104