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20222853552 = 24331179103523
BaseRepresentation
bin10010110101011000…
…000100000110110000
31221012100212101212000
4102311120010012300
5312404022303202
613142405534000
71314066263466
oct226530040660
957170771760
1020222853552
118638301210
123b04714300
131ba3904145
14d9bb36836
157d55db91c
hex4b56041b0

20222853552 has 320 divisors, whose sum is σ = 64872038400. Its totient is φ = 5980366080.

The previous prime is 20222853551. The next prime is 20222853577. The reversal of 20222853552 is 25535822202.

20222853552 is a `hidden beast` number, since 2 + 0 + 2 + 22 + 85 + 3 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20222853551) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 38666763 + ... + 38667285.

It is an arithmetic number, because the mean of its divisors is an integer number (202725120).

Almost surely, 220222853552 is an apocalyptic number.

20222853552 is a gapful number since it is divisible by the number (22) 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 20222853552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32436019200).

20222853552 is an abundant number, since it is smaller than the sum of its proper divisors (44649184848).

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

20222853552 is a wasteful number, since it uses less digits than its factorization.

20222853552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 20222853552 in words is "twenty billion, two hundred twenty-two million, eight hundred fifty-three thousand, five hundred fifty-two".