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22912876900 = 2252151372
BaseRepresentation
bin10101010101101101…
…101100000101100100
32012010211121202011101
4111111231230011210
5333411144030100
614305342245444
71440542145244
oct252555540544
965124552141
1022912876900
1197987a3601
124535586884
132212006834
1411750cdb24
158e185086a
hex555b6c164

22912876900 has 27 divisors (see below), whose sum is σ = 49724227819. Its totient is φ = 9164545280.

The previous prime is 22912876849. The next prime is 22912876919. The reversal of 22912876900 is 967821922.

The square root of 22912876900 is 151370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 29658916 + 22883217984 = 5446^2 + 151272^2 .

It is a super-2 number, since 2×229128769002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1506132 + ... + 1521268.

Almost surely, 222912876900 is an apocalyptic number.

22912876900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22912876900 is the 151370-th square number.

It is an amenable number.

22912876900 is an abundant number, since it is smaller than the sum of its proper divisors (26811350919).

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

22912876900 is an frugal number, since it uses more digits than its factorization.

22912876900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30288 (or 15144 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 22912876900 in words is "twenty-two billion, nine hundred twelve million, eight hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15137 30274 60548 75685 151370 302740 378425 756850 1513700 229128769 458257538 916515076 1145643845 2291287690 4582575380 5728219225 11456438450 22912876900