Search a number
-
+
199940625 = 32557109
BaseRepresentation
bin10111110101011…
…01101000010001
3111221020000222100
423322231220101
5402141100000
631501231013
74645316163
oct1372555021
9457200870
10199940625
11a2952395
1256b62469
1332566281
141c7a8933
1512846a00
hexbeada11

199940625 has 36 divisors (see below), whose sum is σ = 361031580. Its totient is φ = 106620000.

The previous prime is 199940581. The next prime is 199940627. The reversal of 199940625 is 526049991.

199940625 is a `hidden beast` number, since 19 + 9 + 9 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 189365121 + 10575504 = 13761^2 + 3252^2 .

It is not a de Polignac number, because 199940625 - 26 = 199940561 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (199940627) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24571 + ... + 31679.

It is an arithmetic number, because the mean of its divisors is an integer number (10028655).

Almost surely, 2199940625 is an apocalyptic number.

199940625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199940625 is a deficient number, since it is larger than the sum of its proper divisors (161090955).

199940625 is an frugal number, since it uses more digits than its factorization.

199940625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140 (or 7117 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 199940625 is about 14140.0362446494. The cubic root of 199940625 is about 584.7456707304.

It can be divided in two parts, 1999 and 40625, that added together give a palindrome (42624).

The spelling of 199940625 in words is "one hundred ninety-nine million, nine hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 3125 5625 7109 9375 21327 28125 35545 63981 106635 177725 319905 533175 888625 1599525 2665875 4443125 7997625 13329375 22215625 39988125 66646875 199940625