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2246916 = 2237231163
BaseRepresentation
bin1000100100100100000100
311020011012010
420210210010
51033400131
6120054220
725045530
oct10444404
94204163
102246916
1112a5161
12904370
13608949
14426bc0
152e5b46
hex224904

2246916 has 48 divisors (see below), whose sum is σ = 6257664. Its totient is φ = 613536.

The previous prime is 2246903. The next prime is 2246927. The reversal of 2246916 is 6196422.

It is a super-2 number, since 2×22469162 = 10097263022112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351 + ... + 2513.

It is an arithmetic number, because the mean of its divisors is an integer number (130368).

22246916 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 2246916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128832).

2246916 is an abundant number, since it is smaller than the sum of its proper divisors (4010748).

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

2246916 is a wasteful number, since it uses less digits than its factorization.

2246916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1198 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 2246916 is about 1498.9716474970. The cubic root of 2246916 is about 130.9771729548.

It can be divided in two parts, 224 and 6916, that added together give a triangular number (7140 = T119).

The spelling of 2246916 in words is "two million, two hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1163 1932 2326 3489 4652 6978 8141 13956 16282 24423 26749 32564 48846 53498 80247 97692 106996 160494 187243 320988 374486 561729 748972 1123458 2246916