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2182964 = 227531471
BaseRepresentation
bin1000010100111100110100
311002220110112
420110330310
51024323324
6114442152
724361220
oct10247464
94086415
102182964
111261103
12893358
135b57c4
1440b780
152d1c0e
hex214f34

2182964 has 24 divisors (see below), whose sum is σ = 4451328. Its totient is φ = 917280.

The previous prime is 2182949. The next prime is 2182991. The reversal of 2182964 is 4692812.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2182964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (185472).

22182964 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 2182964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225664).

2182964 is an abundant number, since it is smaller than the sum of its proper divisors (2268364).

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

2182964 is a wasteful number, since it uses less digits than its factorization.

2182964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1533 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 2182964 is about 1477.4857021305. The cubic root of 2182964 is about 129.7225641578.

The spelling of 2182964 in words is "two million, one hundred eighty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 53 106 212 371 742 1471 1484 2942 5884 10297 20594 41188 77963 155926 311852 545741 1091482 2182964