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224412704113312 = 25111397505579771
BaseRepresentation
bin110011000001101000100111…
…100000110000001010100000
31002102120122102012101110101101
4303001220213200300022200
5213403234204223111222
62113141434551044144
765161166003413021
oct6301504740601240
91072518365343341
10224412704113312
1165560991054750
1221204828670654
13982b047990890
143d5b8c06cac48
151ae2751c80927
hexcc1a278302a0

224412704113312 has 96 divisors (see below), whose sum is σ = 524403518071104. Its totient is φ = 93188463206400.

The previous prime is 224412704113307. The next prime is 224412704113319. The reversal of 224412704113312 is 213311407214422.

It is a super-2 number, since 2×2244127041133122 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224412704113319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252346014 + ... + 253233757.

It is an arithmetic number, because the mean of its divisors is an integer number (5462536646574).

Almost surely, 2224412704113312 is an apocalyptic number.

224412704113312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

224412704113312 is an abundant number, since it is smaller than the sum of its proper divisors (299990813957792).

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

224412704113312 is a wasteful number, since it uses less digits than its factorization.

224412704113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505579902 (or 505579894 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 224412704113312 in words is "two hundred twenty-four trillion, four hundred twelve billion, seven hundred four million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 97 104 143 176 194 208 286 352 388 416 572 776 1067 1144 1261 1552 2134 2288 2522 3104 4268 4576 5044 8536 10088 13871 17072 20176 27742 34144 40352 55484 110968 221936 443872 505579771 1011159542 2022319084 4044638168 5561377481 6572537023 8089276336 11122754962 13145074046 16178552672 22245509924 26290148092 44491019848 49041237787 52580296184 72297907253 88982039696 98082475574 105160592368 144595814506 177964079392 196164951148 210321184736 289191629012 392329902296 539453615657 578383258024 637536091231 784659804592 1078907231314 1156766516048 1275072182462 1569319609184 2157814462628 2313533032096 2550144364924 4315628925256 5100288729848 7012897003541 8631257850512 10200577459696 14025794007082 17262515701024 20401154919392 28051588014164 56103176028328 112206352056656 224412704113312