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2261252 = 227283139
BaseRepresentation
bin1000101000000100000100
311020212212002
420220010010
51034330002
6120244432
725135400
oct10500404
94225762
102261252
111304a04
12910718
13612326
1442c100
152ea002
hex228104

2261252 has 36 divisors (see below), whose sum is σ = 4692240. Its totient is φ = 950544.

The previous prime is 2261227. The next prime is 2261267. The reversal of 2261252 is 2521622.

It is a super-2 number, since 2×22612522 = 10226521215008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 27 + 215 + 6 + 1 + 217 + 53 + 221 .

Its product of digits (480) is a multiple of the sum of its prime factors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16199 + ... + 16337.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

22261252 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 2261252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346120).

2261252 is an abundant number, since it is smaller than the sum of its proper divisors (2430988).

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

2261252 is a wasteful number, since it uses less digits than its factorization.

2261252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 2261252 is about 1503.7459891883. The cubic root of 2261252 is about 131.2551405394.

Adding to 2261252 its reverse (2521622), we get a palindrome (4782874).

The spelling of 2261252 in words is "two million, two hundred sixty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 83 98 139 166 196 278 332 556 581 973 1162 1946 2324 3892 4067 6811 8134 11537 13622 16268 23074 27244 46148 80759 161518 323036 565313 1130626 2261252