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2228904 = 233317607
BaseRepresentation
bin1000100000001010101000
311012020111000
420200022220
51032311104
6115435000
724642156
oct10401250
94166430
102228904
111292677
128b5a60
136006a2
144203d6
152e0639
hex2202a8

2228904 has 64 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 698112.

The previous prime is 2228893. The next prime is 2228923. The reversal of 2228904 is 4098222.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3369 + ... + 3975.

It is an arithmetic number, because the mean of its divisors is an integer number (102600).

22228904 is an apocalyptic number.

2228904 is a gapful number since it is divisible by the number (24) 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 2228904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2228904 is an abundant number, since it is smaller than the sum of its proper divisors (4337496).

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

2228904 is a wasteful number, since it uses less digits than its factorization.

2228904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2228904 is about 1492.9514392638. The cubic root of 2228904 is about 130.6262485477.

The spelling of 2228904 in words is "two million, two hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 607 612 918 1214 1224 1821 1836 2428 3642 3672 4856 5463 7284 10319 10926 14568 16389 20638 21852 30957 32778 41276 43704 61914 65556 82552 92871 123828 131112 185742 247656 278613 371484 557226 742968 1114452 2228904