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22620160000 = 21454472
BaseRepresentation
bin10101000100010001…
…000100000000000000
32011101102211012001201
4111010101010000000
5332311230110000
614220324310544
71430356121224
oct250421040000
964342735051
1022620160000
119658544009
124473542454
132196488a79
141148294784
158c5cce96a
hex544444000

22620160000 has 225 divisors, whose sum is σ = 57758947939. Its totient is φ = 8855552000.

The previous prime is 22620159983. The next prime is 22620160091. The reversal of 22620160000 is 6102622.

The square root of 22620160000 is 150400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1773420544 + 20846739456 = 42112^2 + 144384^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 22620160000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 481279977 + ... + 481280023.

Almost surely, 222620160000 is an apocalyptic number.

22620160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22620160000 is the 150400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22620160000

22620160000 is an abundant number, since it is smaller than the sum of its proper divisors (35138787939).

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

22620160000 is an frugal number, since it uses more digits than its factorization.

22620160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22620160000 its reverse (6102622), we get a palindrome (22626262622).

The spelling of 22620160000 in words is "twenty-two billion, six hundred twenty million, one hundred sixty thousand".