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2277252 = 223217612
BaseRepresentation
bin1000101011111110000100
311021200210200
420223332010
51040333002
6120450500
725233135
oct10537604
94250720
102277252
111315a2a
12919a30
136196b3
14433c8c
152eeb1c
hex22bf84

2277252 has 54 divisors (see below), whose sum is σ = 6196554. Its totient is φ = 702720.

The previous prime is 2277221. The next prime is 2277259. The reversal of 2277252 is 2527722.

2277252 = T263 + T264 + ... + T316.

It is a happy number.

2277252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 2268036 = 96^2 + 1506^2 .

It is not an unprimeable number, because it can be changed into a prime (2277259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37302 + ... + 37362.

It is an arithmetic number, because the mean of its divisors is an integer number (114751).

22277252 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 2277252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098277).

2277252 is an abundant number, since it is smaller than the sum of its proper divisors (3919302).

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

2277252 is a wasteful number, since it uses less digits than its factorization.

2277252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 83 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 2277252 is about 1509.0566589761. The cubic root of 2277252 is about 131.5639883850.

The spelling of 2277252 in words is "two million, two hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 3721 4148 6222 7442 9333 11163 12444 14884 18666 22326 33489 37332 44652 63257 66978 126514 133956 189771 253028 379542 569313 759084 1138626 2277252