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2245180 = 225722979
BaseRepresentation
bin1000100100001000111100
311020001210211
420210020330
51033321210
6120042204
725040500
oct10441074
94201724
102245180
1112a3923
12903364
13607c12
14426300
152e538a
hex22423c

2245180 has 72 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 733824.

The previous prime is 2245171. The next prime is 2245183. The reversal of 2245180 is 815422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28381 + ... + 28459.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

22245180 is an apocalyptic number.

2245180 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 2245180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2245180 is an abundant number, since it is smaller than the sum of its proper divisors (3500420).

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

2245180 is a wasteful number, since it uses less digits than its factorization.

2245180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2245180 is about 1498.3924719512. The cubic root of 2245180 is about 130.9434326406.

The spelling of 2245180 in words is "two million, two hundred forty-five thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 79 98 116 140 145 158 196 203 245 290 316 395 406 490 553 580 790 812 980 1015 1106 1421 1580 2030 2212 2291 2765 2842 3871 4060 4582 5530 5684 7105 7742 9164 11060 11455 14210 15484 16037 19355 22910 28420 32074 38710 45820 64148 77420 80185 112259 160370 224518 320740 449036 561295 1122590 2245180