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17992198225 = 5213921932
BaseRepresentation
bin10000110000011010…
…110010100001010001
31201102220111101000001
4100300122302201101
5243322000320400
612133203130001
71204602106261
oct206032624121
951386441001
1017992198225
1176a3143911
1235a1673901
13190972b451
14c297997a1
15704866a6a
hex4306b2851

17992198225 has 27 divisors (see below), whose sum is σ = 22589024913. Its totient is φ = 14216163840.

The previous prime is 17992198207. The next prime is 17992198303. The reversal of 17992198225 is 52289129971.

The square root of 17992198225 is 134135.

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 2893686849 + 15098511376 = 53793^2 + 122876^2 .

It is not a de Polignac number, because 17992198225 - 213 = 17992190033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93223729 + ... + 93223921.

Almost surely, 217992198225 is an apocalyptic number.

17992198225 is the 134135-th square number.

17992198225 is the 67068-th centered octagonal number.

It is an amenable number.

17992198225 is a deficient number, since it is larger than the sum of its proper divisors (4596826688).

17992198225 is an frugal number, since it uses more digits than its factorization.

17992198225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 337 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 55.

It can be divided in two parts, 179 and 92198225, that added together give a square (92198404 = 96022).

The spelling of 17992198225 in words is "seventeen billion, nine hundred ninety-two million, one hundred ninety-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 139 193 695 965 3475 4825 19321 26827 37249 96605 134135 186245 483025 670675 931225 3728953 5177611 18644765 25888055 93223825 129440275 719687929 3598439645 17992198225