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2227264 = 26132677
BaseRepresentation
bin1000011111110001000000
311012011020021
420133301000
51032233024
6115423224
724634324
oct10376100
94164207
102227264
111291416
128b4b14
135cca10
1441d984
152dede4
hex21fc40

2227264 has 28 divisors (see below), whose sum is σ = 4761484. Its totient is φ = 1027584.

The previous prime is 2227261. The next prime is 2227273. The reversal of 2227264 is 4627222.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 2073600 = 392^2 + 1440^2 .

It is not an unprimeable number, because it can be changed into a prime (2227261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507 + ... + 2170.

It is an arithmetic number, because the mean of its divisors is an integer number (170053).

22227264 is an apocalyptic number.

It is an amenable number.

2227264 is an abundant number, since it is smaller than the sum of its proper divisors (2534220).

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

2227264 is a wasteful number, since it uses less digits than its factorization.

2227264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2692 counting only the distinct ones).

The product of its digits is 2688, while the sum is 25.

The square root of 2227264 is about 1492.4020905909. The cubic root of 2227264 is about 130.5942029607.

The spelling of 2227264 in words is "two million, two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2677 5354 10708 21416 34801 42832 69602 85664 139204 171328 278408 556816 1113632 2227264