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225015515264 = 2719257521691
BaseRepresentation
bin1101000110001111111…
…0000100100010000000
3210111210201101112020202
43101203332010202000
512141312432442024
6251212023224332
722154044215251
oct3214376044200
9714721345222
10225015515264
1187479435061
12377392a80a8
13182acb28707
14ac68546b28
155cbe6adbae
hex3463f84880

225015515264 has 128 divisors (see below), whose sum is σ = 475298539200. Its totient is φ = 105814425600.

The previous prime is 225015515251. The next prime is 225015515369. The reversal of 225015515264 is 462515510522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 325637159 + ... + 325637849.

Almost surely, 2225015515264 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 225015515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237649269600).

225015515264 is an abundant number, since it is smaller than the sum of its proper divisors (250283023936).

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

225015515264 is a wasteful number, since it uses less digits than its factorization.

225015515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 225015515264 in words is "two hundred twenty-five billion, fifteen million, five hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 257 304 514 521 608 691 1028 1042 1216 1382 2056 2084 2432 2764 4112 4168 4883 5528 8224 8336 9766 9899 11056 13129 16448 16672 19532 19798 22112 26258 32896 33344 39064 39596 44224 52516 66688 78128 79192 88448 105032 133897 156256 158384 177587 210064 267794 312512 316768 355174 360011 420128 535588 625024 633536 710348 720022 840256 1071176 1267072 1420696 1440044 1680512 2142352 2544043 2841392 2880088 3374153 4284704 5088086 5682784 5760176 6748306 6840209 8569408 10176172 11365568 11520352 13496612 13680418 17138816 20352344 22731136 23040704 26993224 27360836 40704688 46081408 53986448 54721672 81409376 92522827 107972896 109443344 162818752 185045654 215945792 218886688 325637504 370091308 431891584 437773376 740182616 875546752 1480365232 1757933713 2960730464 3515867426 5921460928 7031734852 11842921856 14063469704 28126939408 56253878816 112507757632 225015515264