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2192112252 = 2232115535637
BaseRepresentation
bin1000001010101000…
…1111101001111100
312122202211211200200
42002222033221330
513442140043002
61001304323500
7105215434551
oct20252175174
95582754620
102192112252
11a25432420
12512173590
1328c1cc355
1416b1c6a28
15cc6aeb1c
hex82a8fa7c

2192112252 has 36 divisors (see below), whose sum is σ = 6044916696. Its totient is φ = 664276320.

The previous prime is 2192112227. The next prime is 2192112283. The reversal of 2192112252 is 2522112912.

It is a happy number.

2192112252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21921122522 = 9610712250737023008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2767423 + ... + 2768214.

Almost surely, 22192112252 is an apocalyptic number.

2192112252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2192112252 is an abundant number, since it is smaller than the sum of its proper divisors (3852804444).

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

2192112252 is a wasteful number, since it uses less digits than its factorization.

2192112252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535658 (or 5535653 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 2192112252 is about 46819.9984194788. The cubic root of 2192112252 is about 1299.0352313336.

The spelling of 2192112252 in words is "two billion, one hundred ninety-two million, one hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5535637 11071274 16606911 22142548 33213822 49820733 60892007 66427644 99641466 121784014 182676021 199282932 243568028 365352042 548028063 730704084 1096056126 2192112252