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22744536064 = 21092923909
BaseRepresentation
bin10101001011101011…
…100001010000000000
32011201002212010221121
4111023223201100000
5333040100123224
614240530202024
71433426236525
oct251353412000
964632763847
1022744536064
119711774648
1244a9123314
1321b6185783
14115a9cd14c
158d1b9bbe4
hex54bae1400

22744536064 has 44 divisors (see below), whose sum is σ = 45517706100. Its totient is φ = 11359551488.

The previous prime is 22744536037. The next prime is 22744536077. The reversal of 22744536064 is 46063544722.

It can be written as a sum of positive squares in 2 ways, for example, as 840536064 + 21904000000 = 28992^2 + 148000^2 .

It is a super-2 number, since 2×227445360642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22744536064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 939342 + ... + 963250.

Almost surely, 222744536064 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 22744536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22758853050).

22744536064 is an abundant number, since it is smaller than the sum of its proper divisors (22773170036).

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

22744536064 is an equidigital number, since it uses as much as digits as its factorization.

22744536064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24858 (or 24840 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 43.

The spelling of 22744536064 in words is "twenty-two billion, seven hundred forty-four million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 929 1024 1858 3716 7432 14864 23909 29728 47818 59456 95636 118912 191272 237824 382544 475648 765088 951296 1530176 3060352 6120704 12241408 22211461 24482816 44422922 88845844 177691688 355383376 710766752 1421533504 2843067008 5686134016 11372268032 22744536064