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225372903936 = 293418343117
BaseRepresentation
bin1101000111100101000…
…1011001101000000000
3210112201121212202100020
43101321101121220000
512143030430411221
6251311311253440
722165644034605
oct3217121315000
9715647782306
10225372903936
11876421464a4
1237818b1a280
1318338b9a9bb
14ac9dbb86ac
155ce0c56ac6
hex3479459a00

225372903936 has 160 divisors (see below), whose sum is σ = 622476283968. Its totient is φ = 72407285760.

The previous prime is 225372903911. The next prime is 225372903967. The reversal of 225372903936 is 639309273522.

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, 5205450 + ... + 5248566.

Almost surely, 2225372903936 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 225372903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311238141984).

225372903936 is an abundant number, since it is smaller than the sum of its proper divisors (397103380032).

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

225372903936 is an equidigital number, since it uses as much as digits as its factorization.

225372903936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43262 (or 43246 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 51.

The spelling of 225372903936 in words is "two hundred twenty-five billion, three hundred seventy-two million, nine hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 83 96 123 128 164 166 192 246 249 256 328 332 384 492 498 512 656 664 768 984 996 1312 1328 1536 1968 1992 2624 2656 3403 3936 3984 5248 5312 6806 7872 7968 10209 10496 10624 13612 15744 15936 20418 20992 21248 27224 31488 31872 40836 42496 43117 54448 62976 63744 81672 86234 108896 127488 129351 163344 172468 217792 258702 326688 344936 435584 517404 653376 689872 871168 1034808 1306752 1379744 1742336 1767797 2069616 2613504 2759488 3535594 3578711 4139232 5227008 5303391 5518976 7071188 7157422 8278464 10606782 10736133 11037952 14142376 14314844 16556928 21213564 21472266 22075904 28284752 28629688 33113856 42427128 42944532 56569504 57259376 66227712 84854256 85889064 113139008 114518752 146727151 169708512 171778128 226278016 229037504 293454302 339417024 343556256 440181453 452556032 458075008 586908604 678834048 687112512 880362906 905112064 916150016 1173817208 1357668096 1374225024 1760725812 1832300032 2347634416 2715336192 2748450048 3521451624 4695268832 5496900096 7042903248 9390537664 14085806496 18781075328 28171612992 37562150656 56343225984 75124301312 112686451968 225372903936