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2251616 = 25174139
BaseRepresentation
bin1000100101101101100000
311020101122012
420211231200
51034022431
6120132052
725065323
oct10455540
94211565
102251616
1112a8744
12907028
1360ab23
144287ba
152e722b
hex225b60

2251616 has 24 divisors (see below), whose sum is σ = 4694760. Its totient is φ = 1059328.

The previous prime is 2251603. The next prime is 2251637. The reversal of 2251616 is 6161522.

2251616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22516162 = 10139549222912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2251591 and 2251600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1526 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

22251616 is an apocalyptic number.

It is an amenable number.

2251616 is an abundant number, since it is smaller than the sum of its proper divisors (2443144).

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

2251616 is a wasteful number, since it uses less digits than its factorization.

2251616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 2251616 is about 1500.5385699808. The cubic root of 2251616 is about 131.0684334481.

The spelling of 2251616 in words is "two million, two hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 4139 8278 16556 33112 66224 70363 132448 140726 281452 562904 1125808 2251616