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22198920744 = 23371113924031
BaseRepresentation
bin10100101011001010…
…001010011000101000
32010022002012000102210
4110223022022120220
5330430410430434
614110435525120
71414052466360
oct245312123050
963262160383
1022198920744
1194617917a0
1243764597a0
13212a11bc80
1411083619a0
1589dd22ee9
hex52b28a628

22198920744 has 128 divisors (see below), whose sum is σ = 74513940480. Its totient is φ = 5322412800.

The previous prime is 22198920721. The next prime is 22198920767. The reversal of 22198920744 is 44702989122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22198920721) and next prime (22198920767).

It is a junction number, because it is equal to n+sod(n) for n = 22198920693 and 22198920702.

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, 437992 + ... + 486039.

It is an arithmetic number, because the mean of its divisors is an integer number (582140160).

Almost surely, 222198920744 is an apocalyptic number.

22198920744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22198920744 is an abundant number, since it is smaller than the sum of its proper divisors (52315019736).

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

22198920744 is a wasteful number, since it uses less digits than its factorization.

22198920744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924071 (or 924067 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 22198920744 in words is "twenty-two billion, one hundred ninety-eight million, nine hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 924031 1848062 2772093 3696124 5544186 6468217 7392248 10164341 11088372 12012403 12936434 19404651 20328682 22176744 24024806 25872868 30493023 36037209 38809302 40657364 48049612 51745736 60986046 71150387 72074418 77618604 81314728 84086821 96099224 121972092 132136433 142300774 144148836 155237208 168173642 213451161 243944184 252260463 264272866 284601548 288297672 336347284 396409299 426902322 504520926 528545732 569203096 672694568 792818598 853804644 924955031 1009041852 1057091464 1585637196 1707609288 1849910062 2018083704 2774865093 3171274392 3699820124 5549730186 7399640248 11099460372 22198920744