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225766027720 = 23518131183153
BaseRepresentation
bin1101001001000010110…
…1000011000111001000
3210120202000121111210101
43102100231003013020
512144332100341340
6251414313255144
722211456400232
oct3222055030710
9716660544711
10225766027720
1187824045192
12379087044b4
131839c47251c
14acda0ad252
155d1550cc9a
hex3490b431c8

225766027720 has 32 divisors (see below), whose sum is σ = 510780062520. Its totient is φ = 89807477760.

The previous prime is 225766027693. The next prime is 225766027733. The reversal of 225766027720 is 27720667522.

It can be written as a sum of positive squares in 4 ways, for example, as 142661822436 + 83104205284 = 377706^2 + 288278^2 .

It is a super-3 number, since 3×2257660277203 (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15584337 + ... + 15598816.

Almost surely, 2225766027720 is an apocalyptic number.

225766027720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225766027720 is an abundant number, since it is smaller than the sum of its proper divisors (285014034800).

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

225766027720 is a wasteful number, since it uses less digits than its factorization.

225766027720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31183345 (or 31183341 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 46.

The spelling of 225766027720 in words is "two hundred twenty-five billion, seven hundred sixty-six million, twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 31183153 62366306 124732612 155915765 249465224 311831530 623663060 1247326120 5644150693 11288301386 22576602772 28220753465 45153205544 56441506930 112883013860 225766027720