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22683372100 = 2252150612
BaseRepresentation
bin10101001000000010…
…001100101001000100
32011112211202200202121
4111020002030221010
5332423420401400
614230503215324
71432054324114
oct251002145104
964484680677
1022683372100
119690199214
124490747544
1321a65bba8c
14115282b044
158cb61921a
hex54808ca44

22683372100 has 27 divisors (see below), whose sum is σ = 49226185911. Its totient is φ = 9072746400.

The previous prime is 22683372077. The next prime is 22683372121. The reversal of 22683372100 is 127338622.

The square root of 22683372100 is 150610.

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 503822916 + 22179549184 = 22446^2 + 148928^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1498570 + ... + 1513630.

Almost surely, 222683372100 is an apocalyptic number.

22683372100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22683372100 is the 150610-th square number.

It is an amenable number.

22683372100 is an abundant number, since it is smaller than the sum of its proper divisors (26542813811).

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

22683372100 is an frugal number, since it uses more digits than its factorization.

22683372100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30136 (or 15068 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 22683372100 in words is "twenty-two billion, six hundred eighty-three million, three hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 15061 30122 60244 75305 150610 301220 376525 753050 1506100 226833721 453667442 907334884 1134168605 2268337210 4536674420 5670843025 11341686050 22683372100