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2261064 = 233137247
BaseRepresentation
bin1000101000000001001000
311020212121010
420220001020
51034323224
6120243520
725135011
oct10500110
94225533
102261064
111304853
129105a0
13612210
1442c008
152e9e29
hex228048

2261064 has 32 divisors (see below), whose sum is σ = 6088320. Its totient is φ = 695616.

The previous prime is 2261053. The next prime is 2261071. The reversal of 2261064 is 4601622.

It is a happy number.

It is a super-2 number, since 2×22610642 = 10224820824192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2261064.

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 7 ways as a sum of consecutive naturals, for example, 3312 + ... + 3935.

It is an arithmetic number, because the mean of its divisors is an integer number (190260).

22261064 is an apocalyptic number.

2261064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2261064 is an abundant number, since it is smaller than the sum of its proper divisors (3827256).

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

2261064 is a wasteful number, since it uses less digits than its factorization.

2261064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2261064 is about 1503.6834773316. The cubic root of 2261064 is about 131.2515029306.

Adding to 2261064 its reverse (4601622), we get a palindrome (6862686).

The spelling of 2261064 in words is "two million, two hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 7247 14494 21741 28988 43482 57976 86964 94211 173928 188422 282633 376844 565266 753688 1130532 2261064