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225697100 = 225217132763
BaseRepresentation
bin11010111001111…
…01110101001100
3120201200121012212
431130331311030
5430234301400
634221245552
75410252016
oct1534756514
9521617185
10225697100
11106444632
12637038b8
13379b38a5
1421d911b6
1514c33335
hexd73dd4c

225697100 has 36 divisors (see below), whose sum is σ = 518576184. Its totient is φ = 84967680.

The previous prime is 225697099. The next prime is 225697141. The reversal of 225697100 is 1796522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64682 + ... + 68081.

It is an arithmetic number, because the mean of its divisors is an integer number (14404894).

Almost surely, 2225697100 is an apocalyptic number.

225697100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225697100 is an abundant number, since it is smaller than the sum of its proper divisors (292879084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225697100 is a wasteful number, since it uses less digits than its factorization.

225697100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132794 (or 132787 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 225697100 is about 15023.2186964046. The cubic root of 225697100 is about 608.8476857517.

The spelling of 225697100 in words is "two hundred twenty-five million, six hundred ninety-seven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 132763 265526 531052 663815 1327630 2256971 2655260 3319075 4513942 6638150 9027884 11284855 13276300 22569710 45139420 56424275 112848550 225697100