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22234806048 = 25372133137317
BaseRepresentation
bin10100101101010011…
…000011011100100000
32010101120201011211010
4110231103003130200
5331014102243143
614114201020520
71414666506300
oct245523033440
963346634733
1022234806048
11947aa71974
124386484740
1321346a4990
14110d023600
158a2060a33
hex52d4c3720

22234806048 has 576 divisors, whose sum is σ = 77761410048. Its totient is φ = 5504163840.

The previous prime is 22234806043. The next prime is 22234806089. The reversal of 22234806048 is 84060843222.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 22234805997 and 22234806015.

It is not an unprimeable number, because it can be changed into a prime (22234806043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70141186 + ... + 70141502.

It is an arithmetic number, because the mean of its divisors is an integer number (135002448).

Almost surely, 222234806048 is an apocalyptic number.

22234806048 is a gapful number since it is divisible by the number (28) 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 22234806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38880705024).

22234806048 is an abundant number, since it is smaller than the sum of its proper divisors (55526604000).

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

22234806048 is a wasteful number, since it uses less digits than its factorization.

22234806048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 22234806048 in words is "twenty-two billion, two hundred thirty-four million, eight hundred six thousand, forty-eight".