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22791125000 = 235672612
BaseRepresentation
bin10101001110011101…
…001111100000001000
32011211100112002221202
4111032131033200020
5333134012000000
614245312523332
71434533236400
oct251635174010
964740462852
1022791125000
119735aa55a6
124500850548
1321c2a183a7
141162c79800
158d5d00dd5
hex54e74f808

22791125000 has 252 divisors, whose sum is σ = 63172335915. Its totient is φ = 7686000000.

The previous prime is 22791124997. The next prime is 22791125023. The reversal of 22791125000 is 52119722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 21456976324 + 1334148676 = 146482^2 + 36526^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106750.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 373624970 + ... + 373625030.

Almost surely, 222791125000 is an apocalyptic number.

22791125000 is a gapful number since it is divisible by the number (20) 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 22791125000

22791125000 is an abundant number, since it is smaller than the sum of its proper divisors (40381210915).

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

22791125000 is an frugal number, since it uses more digits than its factorization.

22791125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 22791125000 in words is "twenty-two billion, seven hundred ninety-one million, one hundred twenty-five thousand".