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22085294112 = 2536721392
BaseRepresentation
bin10100100100011000…
…101101100000100000
32010000011101012000000
4110210120231200200
5330212313402422
614051300300000
71411202621400
oct244430554040
963004335000
1022085294112
119403633392
1243443a1600
13210c716c8b
1410d7224800
15893d7acac
hex52462d820

22085294112 has 378 divisors, whose sum is σ = 76383704943. Its totient is φ = 6264687744.

The previous prime is 22085294107. The next prime is 22085294129. The reversal of 22085294112 is 21149258022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11042647056 + 11042647056 = 105084^2 + 105084^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105084.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 158886939 + ... + 158887077.

Almost surely, 222085294112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22085294112

22085294112 is an abundant number, since it is smaller than the sum of its proper divisors (54298410831).

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

22085294112 is an frugal number, since it uses more digits than its factorization.

22085294112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 22085294112 in words is "twenty-two billion, eighty-five million, two hundred ninety-four thousand, one hundred twelve".