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224465327037764 = 2273223345194713
BaseRepresentation
bin110011000010011001101000…
…000101010001110101000100
31002102202200020120200222221022
4303002121220011101311010
5213410114442210202024
62113221540411010312
765165041025035601
oct6302315005216504
91072680216628838
10224465327037764
116558123534a75a
1221212a73a39998
139832cb2c6bab7
143d602735096a8
151ae3cd1a3335e
hexcc2668151d44

224465327037764 has 36 divisors (see below), whose sum is σ = 399978371097396. Its totient is φ = 110220140510208.

The previous prime is 224465327037751. The next prime is 224465327037767. The reversal of 224465327037764 is 467730723564422.

It can be written as a sum of positive squares in 6 ways, for example, as 16801145166400 + 207664181871364 = 4098920^2 + 14410558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224465327037697 and 224465327037706.

It is not an unprimeable number, because it can be changed into a prime (224465327037767) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17630729 + ... + 27563984.

It is an arithmetic number, because the mean of its divisors is an integer number (11110510308261).

Almost surely, 2224465327037764 is an apocalyptic number.

It is an amenable number.

224465327037764 is a deficient number, since it is larger than the sum of its proper divisors (175513044059632).

224465327037764 is a wasteful number, since it uses less digits than its factorization.

224465327037764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45195096 (or 45195021 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 62.

The spelling of 224465327037764 in words is "two hundred twenty-four trillion, four hundred sixty-five billion, three hundred twenty-seven million, thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 73 146 233 292 466 932 5329 10658 17009 21316 34018 68036 1241657 2483314 4966628 45194713 90389426 180778852 3299214049 6598428098 10530368129 13196856196 21060736258 42121472516 240842625577 481685251154 768716873417 963370502308 1537433746834 3074867493668 56116331759441 112232663518882 224465327037764