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22292889660 = 2234564721269
BaseRepresentation
bin10100110000110000…
…101000000000111100
32010112122000010120000
4110300300220000330
5331123434432120
614124033554300
71416303302256
oct246060500074
963478003500
1022292889660
1194aa833a58
1243a1a15990
132143730592
141116a22cd6
158a71d5990
hex530c2803c

22292889660 has 120 divisors (see below), whose sum is σ = 70045002720. Its totient is φ = 5935303296.

The previous prime is 22292889643. The next prime is 22292889673. The reversal of 22292889660 is 6698829222.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22292889597 and 22292889606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1037506 + ... + 1058774.

It is an arithmetic number, because the mean of its divisors is an integer number (583708356).

Almost surely, 222292889660 is an apocalyptic number.

22292889660 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 22292889660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35022501360).

22292889660 is an abundant number, since it is smaller than the sum of its proper divisors (47752113060).

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

22292889660 is a wasteful number, since it uses less digits than its factorization.

22292889660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21937 (or 21926 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 22292889660 in words is "twenty-two billion, two hundred ninety-two million, eight hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 647 810 1294 1620 1941 2588 3235 3882 5823 6470 7764 9705 11646 12940 17469 19410 21269 23292 29115 34938 38820 42538 52407 58230 63807 69876 85076 87345 104814 106345 116460 127614 174690 191421 209628 212690 255228 262035 319035 349380 382842 425380 524070 574263 638070 765684 957105 1048140 1148526 1276140 1722789 1914210 2297052 2871315 3445578 3828420 5742630 6891156 8613945 11485260 13761043 17227890 27522086 34455780 41283129 55044172 68805215 82566258 123849387 137610430 165132516 206415645 247698774 275220860 371548161 412831290 495397548 619246935 743096322 825662580 1114644483 1238493870 1486192644 1857740805 2229288966 2476987740 3715481610 4458577932 5573222415 7430963220 11146444830 22292889660