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2272725144 = 2332213714771
BaseRepresentation
bin1000011101110111…
…0000100010011000
312212101112101210100
42013131300202120
514123304201034
61013304215400
7110214562554
oct20735604230
95771471710
102272725144
11a66992048
1253516a560
132a2b156a1
14177bac864
15d47d5099
hex87770898

2272725144 has 48 divisors (see below), whose sum is σ = 6158594520. Its totient is φ = 757169280.

The previous prime is 2272725131. The next prime is 2272725209. The reversal of 2272725144 is 4415272722.

2272725144 is a `hidden beast` number, since 2 + 2 + 72 + 72 + 514 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2272725099 and 2272725108.

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, 146479 + ... + 161249.

Almost surely, 22272725144 is an apocalyptic number.

2272725144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2272725144 is an abundant number, since it is smaller than the sum of its proper divisors (3885869376).

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

2272725144 is a wasteful number, since it uses less digits than its factorization.

2272725144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16920 (or 16913 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 2272725144 is about 47673.1071359944. The cubic root of 2272725144 is about 1314.7675366764.

Adding to 2272725144 its reverse (4415272722), we get a palindrome (6687997866).

The spelling of 2272725144 in words is "two billion, two hundred seventy-two million, seven hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2137 4274 6411 8548 12822 14771 17096 19233 25644 29542 38466 44313 51288 59084 76932 88626 118168 132939 153864 177252 265878 354504 531756 1063512 31565627 63131254 94696881 126262508 189393762 252525016 284090643 378787524 568181286 757575048 1136362572 2272725144