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22028794416 = 24328913113121
BaseRepresentation
bin10100100001000001…
…001011101000110000
32002212020001200222200
4110201001023220300
5330103332410131
614041521303200
71406615443266
oct244101135060
962766050880
1022028794416
119384753322
124329494b00
132100ac42c5
1410cd918436
1588de1a2e6
hex52104ba30

22028794416 has 120 divisors (see below), whose sum is σ = 62823412080. Its totient is φ = 7204454400.

The previous prime is 22028794409. The next prime is 22028794441. The reversal of 22028794416 is 61449782022.

22028794416 is a `hidden beast` number, since 220 + 2 + 8 + 7 + 9 + 4 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672336 + ... + 1685456.

It is an arithmetic number, because the mean of its divisors is an integer number (523528434).

Almost surely, 222028794416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22028794416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31411706040).

22028794416 is an abundant number, since it is smaller than the sum of its proper divisors (40794617664).

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

22028794416 is a wasteful number, since it uses less digits than its factorization.

22028794416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22028794416 in words is "twenty-two billion, twenty-eight million, seven hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 131 144 178 262 267 356 393 524 534 712 786 801 1048 1068 1179 1424 1572 1602 2096 2136 2358 3144 3204 4272 4716 6288 6408 9432 11659 12816 13121 18864 23318 26242 34977 39363 46636 52484 69954 78726 93272 104931 104968 118089 139908 157452 186544 209862 209936 236178 279816 314904 419724 472356 559632 629808 839448 944712 1167769 1678896 1718851 1889424 2335538 3437702 3503307 4671076 5156553 6875404 7006614 9342152 10313106 10509921 13750808 14013228 15469659 18684304 20626212 21019842 27501616 28026456 30939318 41252424 42039684 56052912 61878636 82504848 84079368 123757272 152977739 168158736 247514544 305955478 458933217 611910956 917866434 1223821912 1376799651 1835732868 2447643824 2753599302 3671465736 5507198604 7342931472 11014397208 22028794416