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212276925 = 32527532543
BaseRepresentation
bin11001010011100…
…01011010111101
3112210102210012100
430221301122331
5413320330200
633021455313
75155216110
oct1451613275
9483383170
10212276925
11a9908883
125b111539
1334c95363
142029a577
1513981d00
hexca716bd

212276925 has 72 divisors (see below), whose sum is σ = 442900224. Its totient is φ = 95172480.

The previous prime is 212276921. The next prime is 212276983. The reversal of 212276925 is 529672212.

It is a happy number.

It is not a de Polignac number, because 212276925 - 22 = 212276921 is a prime.

It is a super-2 number, since 2×2122769252 = 90122985774911250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212276925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212276921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82204 + ... + 84746.

It is an arithmetic number, because the mean of its divisors is an integer number (6151392).

Almost surely, 2212276925 is an apocalyptic number.

212276925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

212276925 is an abundant number, since it is smaller than the sum of its proper divisors (230623299).

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

212276925 is a wasteful number, since it uses less digits than its factorization.

212276925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2611 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 212276925 is about 14569.7263186376. The cubic root of 212276925 is about 596.5327100976.

The spelling of 212276925 in words is "two hundred twelve million, two hundred seventy-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 53 63 75 105 159 175 225 265 315 371 477 525 795 1113 1325 1575 1855 2385 2543 3339 3975 5565 7629 9275 11925 12715 16695 17801 22887 27825 38145 53403 63575 83475 89005 114435 134779 160209 190725 267015 404337 445025 572175 673895 801045 943453 1213011 1335075 2021685 2830359 3369475 4005225 4717265 6065055 8491077 10108425 14151795 23586325 30325275 42455385 70758975 212276925