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22013171712 = 2113577189
BaseRepresentation
bin10100100000000101…
…100101100000000000
32002211010122222200000
4110200011211200000
5330040332443322
614040202400000
71406335605120
oct244005454000
962733588600
1022013171712
1193769527a4
124324200000
1320ca7b43bc
1410cb80cc80
1588c8813ac
hex520165800

22013171712 has 576 divisors, whose sum is σ = 77271667200. Its totient is φ = 6131220480.

The previous prime is 22013171711. The next prime is 22013171731. The reversal of 22013171712 is 21717131022.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013171711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247338964 + ... + 247339052.

It is an arithmetic number, because the mean of its divisors is an integer number (134152200).

Almost surely, 222013171712 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 22013171712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635833600).

22013171712 is an abundant number, since it is smaller than the sum of its proper divisors (55258495488).

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

22013171712 is an frugal number, since it uses more digits than its factorization.

22013171712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 22013171712 in words is "twenty-two billion, thirteen million, one hundred seventy-one thousand, seven hundred twelve".