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199396125 = 32534212
BaseRepresentation
bin10111110001010…
…00101100011101
3111220012101001200
423320220230131
5402021134000
631441430113
74640560545
oct1370505435
9456171050
10199396125
11a2610295
125693b339
1332405496
141c6a6325
151278a500
hexbe28b1d

199396125 has 36 divisors (see below), whose sum is σ = 360300564. Its totient is φ = 106092000.

The previous prime is 199396103. The next prime is 199396147. The reversal of 199396125 is 521693991.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (199396103) and next prime (199396147).

It can be written as a sum of positive squares in 6 ways, for example, as 187306596 + 12089529 = 13686^2 + 3477^2 .

It is not a de Polignac number, because 199396125 - 29 = 199395613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 473415 + ... + 473835.

It is an arithmetic number, because the mean of its divisors is an integer number (10008349).

Almost surely, 2199396125 is an apocalyptic number.

199396125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199396125 is a deficient number, since it is larger than the sum of its proper divisors (160904439).

199396125 is an frugal number, since it uses more digits than its factorization.

199396125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 429 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 199396125 is about 14120.7692779112. The cubic root of 199396125 is about 584.2143738613.

Multiplying 199396125 by its sum of digits (45), we get a square (8972825625 = 947252).

199396125 divided by its sum of digits (45) gives a square (4431025 = 21052).

Multiplying 199396125 by its product of digits (131220), we get a square (26164759522500 = 51151502).

The spelling of 199396125 in words is "one hundred ninety-nine million, three hundred ninety-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 421 1125 1263 2105 3789 6315 10525 18945 31575 52625 94725 157875 177241 473625 531723 886205 1595169 2658615 4431025 7975845 13293075 22155125 39879225 66465375 199396125