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22053293856 = 25321131415477
BaseRepresentation
bin10100100010011110…
…101000111100100000
32002220221011101220100
4110202132220330200
5330131120400411
614044154342400
71410333622236
oct244236507440
962827141810
1022053293856
1193975670a0
12433572aa00
132105bc1709
1410d2c94956
15891159456
hex5227a8f20

22053293856 has 288 divisors, whose sum is σ = 72357981696. Its totient is φ = 6308352000.

The previous prime is 22053293839. The next prime is 22053293881. The reversal of 22053293856 is 65839235022.

22053293856 is a `hidden beast` number, since 2 + 20 + 532 + 93 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4023790 + ... + 4029266.

It is an arithmetic number, because the mean of its divisors is an integer number (251242992).

Almost surely, 222053293856 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 22053293856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36178990848).

22053293856 is an abundant number, since it is smaller than the sum of its proper divisors (50304687840).

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

22053293856 is a wasteful number, since it uses less digits than its factorization.

22053293856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5576 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 22053293856 in words is "twenty-two billion, fifty-three million, two hundred ninety-three thousand, eight hundred fifty-six".