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2267220 = 2235291303
BaseRepresentation
bin1000101001100001010100
311021012001010
420221201110
51040022340
6120332220
725161654
oct10514124
94235033
102267220
11130943a
12914070
13614c67
14430364
152ebb80
hex229854

2267220 has 48 divisors (see below), whose sum is σ = 6572160. Its totient is φ = 583296.

The previous prime is 2267219. The next prime is 2267227. The reversal of 2267220 is 227622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2267227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (136920).

22267220 is an apocalyptic number.

2267220 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 2267220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286080).

2267220 is an abundant number, since it is smaller than the sum of its proper divisors (4304940).

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

2267220 is a wasteful number, since it uses less digits than its factorization.

2267220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2267220 is about 1505.7290592932. The cubic root of 2267220 is about 131.3705106313.

The spelling of 2267220 in words is "two million, two hundred sixty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1303 1740 2606 3909 5212 6515 7818 13030 15636 19545 26060 37787 39090 75574 78180 113361 151148 188935 226722 377870 453444 566805 755740 1133610 2267220