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2227664 = 24294801
BaseRepresentation
bin1000011111110111010000
311012011210002
420133313100
51032241124
6115425132
724635435
oct10376720
94164702
102227664
11129174a
128b51a8
135ccc5a
1441db8c
152e00ae
hex21fdd0

2227664 has 20 divisors (see below), whose sum is σ = 4465860. Its totient is φ = 1075200.

The previous prime is 2227661. The next prime is 2227669. The reversal of 2227664 is 4667222.

It can be written as a sum of positive squares in 2 ways, for example, as 1227664 + 1000000 = 1108^2 + 1000^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227661) 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, 1937 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (223293).

22227664 is an apocalyptic number.

It is an amenable number.

2227664 is an abundant number, since it is smaller than the sum of its proper divisors (2238196).

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

2227664 is a wasteful number, since it uses less digits than its factorization.

2227664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4832 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 2227664 is about 1492.5360967159. The cubic root of 2227664 is about 130.6020204076.

The spelling of 2227664 in words is "two million, two hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 4801 9602 19204 38408 76816 139229 278458 556916 1113832 2227664