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22114510340 = 2251385055809
BaseRepresentation
bin10100100110001000…
…001010011000000100
32010002012100112010112
4110212020022120010
5330242303312330
614054222412152
71412006144036
oct244610123004
963065315115
1022114510340
119419078a2a
124352131058
1321157a62a0
1410db06bc56
158966ec795
hex52620a604

22114510340 has 24 divisors (see below), whose sum is σ = 50012816280. Its totient is φ = 8165357568.

The previous prime is 22114510339. The next prime is 22114510391. The reversal of 22114510340 is 4301541122.

It can be written as a sum of positive squares in 4 ways, for example, as 423701056 + 21690809284 = 20584^2 + 147278^2 .

It is a super-3 number, since 3×221145103403 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42527645 + ... + 42528164.

It is an arithmetic number, because the mean of its divisors is an integer number (2083867345).

Almost surely, 222114510340 is an apocalyptic number.

22114510340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22114510340 is an abundant number, since it is smaller than the sum of its proper divisors (27898305940).

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

22114510340 is a wasteful number, since it uses less digits than its factorization.

22114510340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85055831 (or 85055829 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 22114510340 in words is "twenty-two billion, one hundred fourteen million, five hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 85055809 170111618 340223236 425279045 850558090 1105725517 1701116180 2211451034 4422902068 5528627585 11057255170 22114510340