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221316814344 = 2339221533931
BaseRepresentation
bin1100111000011110000…
…0101001011000001000
3210011020221122001102210
43032013200221120020
512111224101024334
6245401015225120
721663302611533
oct3160740513010
9704227561383
10221316814344
118595063233a
1236a866781a0
1317b4076b1a2
14a9d7223a1a
155b54b025e9
hex3387829608

221316814344 has 16 divisors (see below), whose sum is σ = 553292035920. Its totient is φ = 73772271440.

The previous prime is 221316814307. The next prime is 221316814349. The reversal of 221316814344 is 443418613122.

221316814344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213168143442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221316814349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4610766942 + ... + 4610766989.

It is an arithmetic number, because the mean of its divisors is an integer number (34580752245).

Almost surely, 2221316814344 is an apocalyptic number.

221316814344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221316814344 is an abundant number, since it is smaller than the sum of its proper divisors (331975221576).

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

221316814344 is a wasteful number, since it uses less digits than its factorization.

221316814344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221533940 (or 9221533936 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 221316814344 in words is "two hundred twenty-one billion, three hundred sixteen million, eight hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 9221533931 18443067862 27664601793 36886135724 55329203586 73772271448 110658407172 221316814344