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2252516 = 22780447
BaseRepresentation
bin1000100101111011100100
311020102212112
420211323210
51034040031
6120140152
725101050
oct10457344
94212775
102252516
1112a9392
12907658
1360b366
14428c60
152e762b
hex225ee4

2252516 has 12 divisors (see below), whose sum is σ = 4505088. Its totient is φ = 965352.

The previous prime is 2252513. The next prime is 2252519. The reversal of 2252516 is 6152522.

2252516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2252513) and next prime (2252519).

2252516 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 2252491 and 2252500.

It is not an unprimeable number, because it can be changed into a prime (2252513) 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 3 ways as a sum of consecutive naturals, for example, 40196 + ... + 40251.

It is an arithmetic number, because the mean of its divisors is an integer number (375424).

22252516 is an apocalyptic number.

It is an amenable number.

2252516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2252516 is a wasteful number, since it uses less digits than its factorization.

2252516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80458 (or 80456 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 2252516 is about 1500.8384323437. The cubic root of 2252516 is about 131.0858943705.

The spelling of 2252516 in words is "two million, two hundred fifty-two thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 80447 160894 321788 563129 1126258 2252516