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2265180 = 2235191987
BaseRepresentation
bin1000101001000001011100
311021002020120
420221001130
51034441210
6120314540
725153011
oct10510134
94232216
102265180
111307955
12912a50
13614058
1442d708
152eb270
hex22905c

2265180 has 48 divisors (see below), whose sum is σ = 6679680. Its totient is φ = 571968.

The previous prime is 2265173. The next prime is 2265223. The reversal of 2265180 is 815622.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2265180.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147 + ... + 2133.

It is an arithmetic number, because the mean of its divisors is an integer number (139160).

22265180 is an apocalyptic number.

2265180 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 2265180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339840).

2265180 is an abundant number, since it is smaller than the sum of its proper divisors (4414500).

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

2265180 is a wasteful number, since it uses less digits than its factorization.

2265180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2265180 is about 1505.0514941357. The cubic root of 2265180 is about 131.3310972733.

The spelling of 2265180 in words is "two million, two hundred sixty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1987 3974 5961 7948 9935 11922 19870 23844 29805 37753 39740 59610 75506 113259 119220 151012 188765 226518 377530 453036 566295 755060 1132590 2265180