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22230845952 = 29374914211
BaseRepresentation
bin10100101101000011…
…111100101000000000
32010101022020222120220
4110231003330220000
5331012044032302
614113540103040
71414621033650
oct245503745000
963338228526
1022230845952
119478807667
124385094a80
132133919323
14110c6b2360
158a1a2c4bc
hex52d0fca00

22230845952 has 160 divisors (see below), whose sum is σ = 67838943744. Its totient is φ = 6337228800.

The previous prime is 22230845933. The next prime is 22230845999. The reversal of 22230845952 is 25954803222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5277127 + ... + 5281337.

Almost surely, 222230845952 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 22230845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33919471872).

22230845952 is an abundant number, since it is smaller than the sum of its proper divisors (45608097792).

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

22230845952 is an equidigital number, since it uses as much as digits as its factorization.

22230845952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 22230845952 in words is "twenty-two billion, two hundred thirty million, eight hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 491 512 672 768 896 982 1344 1473 1536 1792 1964 2688 2946 3437 3584 3928 4211 5376 5892 6874 7856 8422 10311 10752 11784 12633 13748 15712 16844 20622 23568 25266 27496 29477 31424 33688 41244 47136 50532 54992 58954 62848 67376 82488 88431 94272 101064 109984 117908 125696 134752 164976 176862 188544 202128 219968 235816 251392 269504 329952 353724 377088 404256 439936 471632 539008 659904 707448 754176 808512 879872 943264 1078016 1319808 1414896 1617024 1759744 1886528 2067601 2156032 2639616 2829792 3234048 3773056 4135202 5279232 5659584 6202803 6468096 7546112 8270404 11319168 12405606 14473207 15092224 16540808 22638336 24811212 28946414 33081616 43419621 45276672 49622424 57892828 66163232 86839242 99244848 115785656 132326464 173678484 198489696 231571312 264652928 347356968 396979392 463142624 529305856 694713936 793958784 926285248 1058611712 1389427872 1587917568 1852570496 2778855744 3175835136 3705140992 5557711488 7410281984 11115422976 22230845952