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22815238656 = 29373116823
BaseRepresentation
bin10101001111111001…
…001110101000000000
32011220000220012200010
4111033321032220000
5333211200114111
614251533424520
71435245220530
oct251771165000
964800805603
1022815238656
119748675541
12450893b140
1321c7a0c022
1411661554c0
158d7eb5aa6
hex54fe4ea00

22815238656 has 160 divisors (see below), whose sum is σ = 69697824768. Its totient is φ = 6496727040.

The previous prime is 22815238577. The next prime is 22815238669. The reversal of 22815238656 is 65683251822.

It is a super-2 number, since 2×228152386562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3340461 + ... + 3347283.

Almost surely, 222815238656 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 22815238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34848912384).

22815238656 is an abundant number, since it is smaller than the sum of its proper divisors (46882586112).

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

22815238656 is an equidigital number, since it uses as much as digits as its factorization.

22815238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7146 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The spelling of 22815238656 in words is "twenty-two billion, eight hundred fifteen million, two hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 311 336 384 448 512 622 672 768 896 933 1244 1344 1536 1792 1866 2177 2488 2688 3584 3732 4354 4976 5376 6531 6823 7464 8708 9952 10752 13062 13646 14928 17416 19904 20469 26124 27292 29856 34832 39808 40938 47761 52248 54584 59712 69664 79616 81876 95522 104496 109168 119424 139328 143283 159232 163752 191044 208992 218336 238848 278656 286566 327504 382088 417984 436672 477696 557312 573132 655008 764176 835968 873344 1114624 1146264 1310016 1528352 1671936 1746688 2121953 2292528 2620032 3056704 3343872 3493376 4243906 4585056 5240064 6113408 6365859 8487812 9170112 10480128 12226816 12731718 14853671 16975624 18340224 24453632 25463436 29707342 33951248 36680448 44561013 50926872 59414684 67902496 73360896 89122026 101853744 118829368 135804992 178244052 203707488 237658736 271609984 356488104 407414976 475317472 543219968 712976208 814829952 950634944 1086439936 1425952416 1629659904 1901269888 2851904832 3259319808 3802539776 5703809664 7605079552 11407619328 22815238656