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2272652560 = 245173164209
BaseRepresentation
bin1000011101110101…
…1110110100010000
312212101101201020001
42013131132310100
514123244340220
61013302455344
7110214141133
oct20735366420
95771351201
102272652560
11a66942562
12535134554
132a2abb639
14177b9021a
15d47bd80a
hex8775ed10

2272652560 has 40 divisors (see below), whose sum is σ = 5314492440. Its totient is φ = 903800832.

The previous prime is 2272652549. The next prime is 2272652587. The reversal of 2272652560 is 652562722.

2272652560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 277422336 + 1995230224 = 16656^2 + 44668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 68265 + ... + 95944.

It is an arithmetic number, because the mean of its divisors is an integer number (132862311).

Almost surely, 22272652560 is an apocalyptic number.

2272652560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2272652560 is an abundant number, since it is smaller than the sum of its proper divisors (3041839880).

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

2272652560 is a wasteful number, since it uses less digits than its factorization.

2272652560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164395 (or 164389 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 2272652560 is about 47672.3458621453. The cubic root of 2272652560 is about 1314.7535399549.

The spelling of 2272652560 in words is "two billion, two hundred seventy-two million, six hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 164209 328418 656836 821045 1313672 1642090 2627344 3284180 6568360 13136720 28408157 56816314 113632628 142040785 227265256 284081570 454530512 568163140 1136326280 2272652560