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203490225 = 34523172
BaseRepresentation
bin11000010000100…
…00001110110001
3112011220101010000
430020100032301
5404043141400
632105300213
75020431651
oct1410201661
9464811100
10203490225
11a4957244
1258194669
1333209b23
141d050361
1512ce8600
hexc2103b1

203490225 has 45 divisors (see below), whose sum is σ = 378127057. Its totient is φ = 108185760.

The previous prime is 203490193. The next prime is 203490239. The reversal of 203490225 is 522094302.

The square root of 203490225 is 14265.

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 82137969 + 121352256 = 9063^2 + 11016^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 203490225 - 25 = 203490193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 641767 + ... + 642083.

Almost surely, 2203490225 is an apocalyptic number.

203490225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

203490225 is the 14265-th square number.

203490225 is the 7133-rd centered octagonal number.

It is an amenable number.

203490225 is a deficient number, since it is larger than the sum of its proper divisors (174636832).

203490225 is an frugal number, since it uses more digits than its factorization.

203490225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 203490225 is about 588.1857753266.

The spelling of 203490225 in words is "two hundred three million, four hundred ninety thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 317 405 675 951 1585 2025 2853 4755 7925 8559 14265 23775 25677 42795 71325 100489 128385 213975 301467 502445 641925 904401 1507335 2512225 2713203 4522005 7536675 8139609 13566015 22610025 40698045 67830075 203490225