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2272863042 = 2321726612
BaseRepresentation
bin1000011101111001…
…0010001101000010
312212101210101221200
42013132102031002
514123323104132
61013311202030
7110216005602
oct20736221502
95771711850
102272863042
11a66a7670a
12535216316
132a2b63398
14177c06c02
15d4810d7c
hex87792342

2272863042 has 54 divisors (see below), whose sum is σ = 5239181259. Its totient is φ = 711976320.

The previous prime is 2272863031. The next prime is 2272863071. The reversal of 2272863042 is 2403682722.

It is a happy number.

2272863042 is a `hidden beast` number, since 2 + 272 + 86 + 304 + 2 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2203457481 + 69405561 = 46941^2 + 8331^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33711.

It is a junction number, because it is equal to n+sod(n) for n = 2272862988 and 2272863006.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3438192 + ... + 3438852.

Almost surely, 22272863042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272863042

2272863042 is an abundant number, since it is smaller than the sum of its proper divisors (2966318217).

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

2272863042 is an equidigital number, since it uses as much as digits as its factorization.

2272863042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2272863042 is about 47674.5534011594. The cubic root of 2272863042 is about 1314.7941273896.

The spelling of 2272863042 in words is "two billion, two hundred seventy-two million, eight hundred sixty-three thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 661 867 1322 1734 1983 2601 3966 5202 5949 11237 11898 22474 33711 67422 101133 191029 202266 382058 436921 573087 873842 1146174 1310763 1719261 2621526 3438522 3932289 7427657 7864578 14855314 22282971 44565942 66848913 126270169 133697826 252540338 378810507 757621014 1136431521 2272863042