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16818199225 = 523727012
BaseRepresentation
bin11111010100111000…
…10101101010111001
31121102002102001010121
433222130111222321
5233420424333400
611420504213241
71133525222542
oct175234255271
947362361117
1016818199225
117150487003
12331446a221
13178043b999
14b578b74c9
1568676521a
hex3ea715ab9

16818199225 has 27 divisors (see below), whose sum is σ = 21464056551. Its totient is φ = 13072248000.

The previous prime is 16818199217. The next prime is 16818199231. The reversal of 16818199225 is 52299181861.

It is a happy number.

The square root of 16818199225 is 129685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 74874409 + 16743324816 = 8653^2 + 129396^2 .

It is not a de Polignac number, because 16818199225 - 23 = 16818199217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23991375 + ... + 23992075.

Almost surely, 216818199225 is an apocalyptic number.

16818199225 is the 129685-th square number.

16818199225 is the 64843-rd centered octagonal number.

It is an amenable number.

16818199225 is a deficient number, since it is larger than the sum of its proper divisors (4645857326).

16818199225 is an frugal number, since it uses more digits than its factorization.

16818199225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 743 counting only the distinct ones).

The product of its digits is 622080, while the sum is 52.

The spelling of 16818199225 in words is "sixteen billion, eight hundred eighteen million, one hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 37 185 701 925 1369 3505 6845 17525 25937 34225 129685 491401 648425 959669 2457005 4798345 12285025 18181837 23991725 90909185 454545925 672727969 3363639845 16818199225