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223701564961 = 761927516049
BaseRepresentation
bin1101000001010110100…
…1101111111000100001
3210101102010221221021201
43100111221233320201
512131120100034321
6250433404521201
722106350633330
oct3202551577041
9711363857251
10223701564961
1186964779816
1237431250201
1318130847b24
14ab81c33d17
155c44165291
hex3415a6fe21

223701564961 has 8 divisors (see below), whose sum is σ = 255663555200. Its totient is φ = 191740730688.

The previous prime is 223701564949. The next prime is 223701564967. The reversal of 223701564961 is 169465107322.

It is a happy number.

223701564961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223701564961 - 213 = 223701556769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223701564967) 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 7 ways as a sum of consecutive naturals, for example, 175465 + ... + 691513.

It is an arithmetic number, because the mean of its divisors is an integer number (31957944400).

Almost surely, 2223701564961 is an apocalyptic number.

It is an amenable number.

223701564961 is a deficient number, since it is larger than the sum of its proper divisors (31961990239).

223701564961 is an equidigital number, since it uses as much as digits as its factorization.

223701564961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577983.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 223701564961 in words is "two hundred twenty-three billion, seven hundred one million, five hundred sixty-four thousand, nine hundred sixty-one".

Divisors: 1 7 61927 433489 516049 3612343 31957366423 223701564961