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2224330864448 = 26711451365841
BaseRepresentation
bin100000010111100100011…
…100110111011101000000
321212122101102221111212012
4200113210130313131000
5242420412200130243
64421502105552052
7316462664250650
oct40274434673500
97778342844765
102224330864448
1178837386a620
122bb10baa5628
131319a4595c54
14799300d6360
153ccd74ebd18
hex205e4737740

2224330864448 has 56 divisors (see below), whose sum is σ = 5503052345664. Its totient is φ = 866622412800.

The previous prime is 2224330864433. The next prime is 2224330864453. The reversal of 2224330864448 is 8444680334222.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2224330864396 and 2224330864405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225677993 + ... + 225687848.

Almost surely, 22224330864448 is an apocalyptic number.

2224330864448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2224330864448 is an abundant number, since it is smaller than the sum of its proper divisors (3278721481216).

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

2224330864448 is a wasteful number, since it uses less digits than its factorization.

2224330864448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451365871 (or 451365861 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 50.

The spelling of 2224330864448 in words is "two trillion, two hundred twenty-four billion, three hundred thirty million, eight hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 451365841 902731682 1805463364 3159560887 3610926728 4965024251 6319121774 7221853456 9930048502 12638243548 14443706912 19860097004 25276487096 28887413824 34755169757 39720194008 50552974192 69510339514 79440388016 101105948384 139020679028 158880776032 202211896768 278041358056 317761552064 556082716112 1112165432224 2224330864448