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2156648 = 231389233
BaseRepresentation
bin1000001110100001101000
311001120100212
420032201220
51023003043
6114120252
724221414
oct10164150
94046325
102156648
11124335a
12880088
135a6830
14401d44
152c9018
hex20e868

2156648 has 32 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 979968.

The previous prime is 2156647. The next prime is 2156659. The reversal of 2156648 is 8466512.

2156648 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 806404 + 1350244 = 898^2 + 1162^2 .

It is a super-2 number, since 2×21566482 = 9302261191808, which contains 22 as substring.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2156647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9140 + ... + 9372.

22156648 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 2156648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

2156648 is an abundant number, since it is smaller than the sum of its proper divisors (2265952).

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

2156648 is a wasteful number, since it uses less digits than its factorization.

2156648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 2156648 is about 1468.5530293456. The cubic root of 2156648 is about 129.1991795134.

The spelling of 2156648 in words is "two million, one hundred fifty-six thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 89 104 178 233 356 466 712 932 1157 1864 2314 3029 4628 6058 9256 12116 20737 24232 41474 82948 165896 269581 539162 1078324 2156648