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22625421632 = 26112341173197
BaseRepresentation
bin10101000100100101…
…001000100101000000
32011101210201111122222
4111010211020211000
5332314101443012
614221033150212
71430451624242
oct250445104500
964353644588
1022625421632
119660508170
12447525b368
1321975ab968
141148c64092
158c64bd972
hex544948940

22625421632 has 224 divisors, whose sum is σ = 52924886784. Its totient is φ = 9493299200.

The previous prime is 22625421607. The next prime is 22625421653. The reversal of 22625421632 is 23612452622.

It is a junction number, because it is equal to n+sod(n) for n = 22625421592 and 22625421601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114849758 + ... + 114849954.

It is an arithmetic number, because the mean of its divisors is an integer number (236271816).

Almost surely, 222625421632 is an apocalyptic number.

22625421632 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 22625421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462443392).

22625421632 is an abundant number, since it is smaller than the sum of its proper divisors (30299465152).

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

22625421632 is a wasteful number, since it uses less digits than its factorization.

22625421632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The spelling of 22625421632 in words is "twenty-two billion, six hundred twenty-five million, four hundred twenty-one thousand, six hundred thirty-two".