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225307092 = 223194392251
BaseRepresentation
bin11010110110111…
…10100111010100
3120200221210020010
431123132213110
5430134311332
634205040220
75404035663
oct1533364724
9520853203
10225307092
111061a860a
1263556070
13378a820a
1421cccdda
1514ba79cc
hexd6de9d4

225307092 has 48 divisors (see below), whose sum is σ = 554892800. Its totient is φ = 70956000.

The previous prime is 225307067. The next prime is 225307109. The reversal of 225307092 is 290703522.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 98967 + ... + 101217.

Almost surely, 2225307092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225307092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277446400).

225307092 is an abundant number, since it is smaller than the sum of its proper divisors (329585708).

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

225307092 is a wasteful number, since it uses less digits than its factorization.

225307092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 225307092 is about 15010.2329095854. The cubic root of 225307092 is about 608.4967842186.

The spelling of 225307092 in words is "two hundred twenty-five million, three hundred seven thousand, ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 439 878 1317 1756 2251 2634 4502 5268 6753 8341 9004 13506 16682 25023 27012 33364 42769 50046 85538 100092 128307 171076 256614 513228 988189 1976378 2964567 3952756 5929134 11858268 18775591 37551182 56326773 75102364 112653546 225307092