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22274771904 = 263571121989
BaseRepresentation
bin10100101111101011…
…100000101111000000
32010111100220122200000
4110233223200233000
5331104320200104
614122145400000
71415663302650
oct245753405700
963440818600
1022274771904
1194a0589900
124397939000
13213ca58b08
141114468360
158a5807639
hex52fae0bc0

22274771904 has 1008 divisors, whose sum is σ = 88535865600. Its totient is φ = 5419560960.

The previous prime is 22274771887. The next prime is 22274771927. The reversal of 22274771904 is 40917747222.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 22274771904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250278292 + ... + 250278380.

It is an arithmetic number, because the mean of its divisors is an integer number (87833200).

Almost surely, 222274771904 is an apocalyptic number.

22274771904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22274771904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44267932800).

22274771904 is an abundant number, since it is smaller than the sum of its proper divisors (66261093696).

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

22274771904 is a wasteful number, since it uses less digits than its factorization.

22274771904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 22274771904 in words is "twenty-two billion, two hundred seventy-four million, seven hundred seventy-one thousand, nine hundred four".