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2164944 = 243233753
BaseRepresentation
bin1000010000100011010000
311001222202010
420100203100
51023234234
6114222520
724254535
oct10204320
94058663
102164944
111249611
12884a40
135aa542
14404d8c
152cb6e9
hex2108d0

2164944 has 80 divisors (see below), whose sum is σ = 6106752. Its totient is φ = 658944.

The previous prime is 2164927. The next prime is 2164963. The reversal of 2164944 is 4494612.

It is a congruent number.

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, 40822 + ... + 40874.

22164944 is an apocalyptic number.

2164944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053376).

2164944 is an abundant number, since it is smaller than the sum of its proper divisors (3941808).

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

2164944 is a wasteful number, since it uses less digits than its factorization.

2164944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2164944 is about 1471.3748672585. The cubic root of 2164944 is about 129.3646314825.

The spelling of 2164944 in words is "two million, one hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 53 69 74 92 106 111 138 148 159 184 212 222 276 296 318 368 424 444 552 592 636 848 851 888 1104 1219 1272 1702 1776 1961 2438 2544 2553 3404 3657 3922 4876 5106 5883 6808 7314 7844 9752 10212 11766 13616 14628 15688 19504 20424 23532 29256 31376 40848 45103 47064 58512 90206 94128 135309 180412 270618 360824 541236 721648 1082472 2164944