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198314355625 = 544723792
BaseRepresentation
bin1011100010110001110…
…1001110101110101001
3200221212212110002010021
42320230131032232221
511222121433340000
6231034312520441
720220262131631
oct2705435165651
9627785402107
10198314355625
1177117313681
12325270b0121
131591602ab79
1498542956c1
15525a4a911a
hex2e2c74eba9

198314355625 has 45 divisors (see below), whose sum is σ = 253868265057. Its totient is φ = 154866222000.

The previous prime is 198314355607. The next prime is 198314355641. The reversal of 198314355625 is 526553413891.

The square root of 198314355625 is 445325.

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 15547845481 + 182766510144 = 124691^2 + 427512^2 .

It is not a de Polignac number, because 198314355625 - 217 = 198314224553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 523256686 + ... + 523257064.

Almost surely, 2198314355625 is an apocalyptic number.

198314355625 is the 445325-th square number.

198314355625 is the 222663-rd centered octagonal number.

It is an amenable number.

198314355625 is a deficient number, since it is larger than the sum of its proper divisors (55553909432).

198314355625 is an frugal number, since it uses more digits than its factorization.

198314355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 431 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 52.

The spelling of 198314355625 in words is "one hundred ninety-eight billion, three hundred fourteen million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 47 125 235 379 625 1175 1895 2209 5875 9475 11045 17813 29375 47375 55225 89065 143641 236875 276125 445325 718205 837211 1380625 2226625 3591025 4186055 6751127 11133125 17955125 20930275 33755635 89775625 104651375 168778175 317302969 523256875 843890875 1586514845 4219454375 7932574225 39662871125 198314355625