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112252221 = 3212472469
BaseRepresentation
bin1101011000011…
…01010100111101
321211020000002200
412230031110331
5212214032341
615045542113
72532061644
oct654152475
9254200080
10112252221
11583aa834
1231714939
131a343543
1410ca035b
159cc4db6
hex6b0d53d

112252221 has 6 divisors (see below), whose sum is σ = 162142110. Its totient is φ = 74834808.

The previous prime is 112252199. The next prime is 112252249. The reversal of 112252221 is 122252211.

112252221 is a `hidden beast` number, since 1 + 122 + 522 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100100025 + 12152196 = 10005^2 + 3486^2 .

It is not a de Polignac number, because 112252221 - 26 = 112252157 is a prime.

It is a super-4 number, since 4×1122522214 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112252194 and 112252203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112252291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6236226 + ... + 6236243.

It is an arithmetic number, because the mean of its divisors is an integer number (27023685).

Almost surely, 2112252221 is an apocalyptic number.

It is an amenable number.

112252221 is a deficient number, since it is larger than the sum of its proper divisors (49889889).

112252221 is a wasteful number, since it uses less digits than its factorization.

112252221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12472475 (or 12472472 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 112252221 is about 10594.9148651606. The cubic root of 112252221 is about 482.3900199457.

The spelling of 112252221 in words is "one hundred twelve million, two hundred fifty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 12472469 37417407 112252221