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20226820608 = 293341127281
BaseRepresentation
bin10010110101100111…
…001100101000000000
31221012122022221122000
4102311213030220000
5312411031224413
613143030544000
71314145065321
oct226547145000
957178287560
1020226820608
11863a570775
123b05b08000
131ba4692a07
14d9c48a448
157d5b22073
hex4b59cca00

20226820608 has 320 divisors, whose sum is σ = 62036029440. Its totient is φ = 6502809600.

The previous prime is 20226820529. The next prime is 20226820613. The reversal of 20226820608 is 80602862202.

20226820608 is a `hidden beast` number, since 2 + 0 + 2 + 26 + 8 + 20 + 608 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71981428 + ... + 71981708.

It is an arithmetic number, because the mean of its divisors is an integer number (193862592).

Almost surely, 220226820608 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 20226820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31018014720).

20226820608 is an abundant number, since it is smaller than the sum of its proper divisors (41809208832).

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

20226820608 is a wasteful number, since it uses less digits than its factorization.

20226820608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20226820608 in words is "twenty billion, two hundred twenty-six million, eight hundred twenty thousand, six hundred eight".