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2272160 = 255111291
BaseRepresentation
bin1000101010101110100000
311021102211002
420222232200
51040202120
6120411132
725212242
oct10525640
94242732
102272160
111312120
12916aa8
13617297
14432092
152ed375
hex22aba0

2272160 has 48 divisors (see below), whose sum is σ = 5860512. Its totient is φ = 825600.

The previous prime is 2272141. The next prime is 2272177. The reversal of 2272160 is 612722.

It is a super-2 number, since 2×22721602 = 10325422131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1115 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

22272160 is an apocalyptic number.

2272160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256).

2272160 is an abundant number, since it is smaller than the sum of its proper divisors (3588352).

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

2272160 is a wasteful number, since it uses less digits than its factorization.

2272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2272160 is about 1507.3685680682. The cubic root of 2272160 is about 131.4658549369.

Adding to 2272160 its reverse (612722), we get a palindrome (2884882).

The spelling of 2272160 in words is "two million, two hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1291 1760 2582 5164 6455 10328 12910 14201 20656 25820 28402 41312 51640 56804 71005 103280 113608 142010 206560 227216 284020 454432 568040 1136080 2272160