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2204288 = 27171013
BaseRepresentation
bin1000011010001010000000
311010222201022
420122022000
51031014123
6115125012
724510332
oct10321200
94128638
102204288
111276129
128a3768
135c2418
14415452
152d81c8
hex21a280

2204288 has 32 divisors (see below), whose sum is σ = 4654260. Its totient is φ = 1036288.

The previous prime is 2204273. The next prime is 2204327. The reversal of 2204288 is 8824022.

It can be written as a sum of positive squares in 2 ways, for example, as 2096704 + 107584 = 1448^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 27 + 213 + 0 + 48 + 221 + 83 + 85 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1670 + ... + 2682.

22204288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2204288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327130).

2204288 is an abundant number, since it is smaller than the sum of its proper divisors (2449972).

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

2204288 is a wasteful number, since it uses less digits than its factorization.

2204288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2204288 is about 1484.6844782647. The cubic root of 2204288 is about 130.1435888779.

The spelling of 2204288 in words is "two million, two hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1013 1088 2026 2176 4052 8104 16208 17221 32416 34442 64832 68884 129664 137768 275536 551072 1102144 2204288