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22054017744 = 2434111981421
BaseRepresentation
bin10100100010100001…
…011001101011010000
32002220222112011220000
4110202201121223100
5330131312031434
614044222050000
71410343025553
oct244241315320
962828464800
1022054017744
119397a10a50
124335a19900
1321060b6055
1410d300269a
1589124db99
hex522859ad0

22054017744 has 200 divisors, whose sum is σ = 73299341280. Its totient is φ = 6331219200.

The previous prime is 22054017743. The next prime is 22054017761. The reversal of 22054017744 is 44771045022.

22054017744 is a `hidden beast` number, since 2 + 2 + 0 + 540 + 1 + 77 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22054017699 and 22054017708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22054017743) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230154 + ... + 311574.

Almost surely, 222054017744 is an apocalyptic number.

22054017744 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 22054017744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36649670640).

22054017744 is an abundant number, since it is smaller than the sum of its proper divisors (51245323536).

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

22054017744 is a wasteful number, since it uses less digits than its factorization.

22054017744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81471 (or 81456 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

It can be divided in two parts, 22054017 and 744, that added together give a triangular number (22054761 = T6641).

The spelling of 22054017744 in words is "twenty-two billion, fifty-four million, seventeen thousand, seven hundred forty-four".