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225272216 = 231317912101
BaseRepresentation
bin11010110110101…
…10000110011000
3120200220000101102
431123112012120
5430132202331
634204210532
75403532211
oct1533260630
9520800342
10225272216
11106184394
1263539a48
1337895390
1421cc0408
1514b9c4cb
hexd6d6198

225272216 has 32 divisors (see below), whose sum is σ = 457455600. Its totient is φ = 103382400.

The previous prime is 225272197. The next prime is 225272237. The reversal of 225272216 is 612272522.

225272216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 12566 + ... + 24666.

Almost surely, 2225272216 is an apocalyptic number.

225272216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225272216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228727800).

225272216 is an abundant number, since it is smaller than the sum of its proper divisors (232183384).

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

225272216 is a wasteful number, since it uses less digits than its factorization.

225272216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12299 (or 12295 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 225272216 is about 15009.0711238238. The cubic root of 225272216 is about 608.4653855488.

The spelling of 225272216 in words is "two hundred twenty-five million, two hundred seventy-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 179 358 716 1432 2327 4654 9308 12101 18616 24202 48404 96808 157313 314626 629252 1258504 2166079 4332158 8664316 17328632 28159027 56318054 112636108 225272216