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2149884 = 2232116189
BaseRepresentation
bin1000001100110111111100
311001020002100
420030313330
51022244014
6114025100
724162612
oct10146774
94036070
102149884
111239270
12878190
135a3729
143dd6b2
152c7009
hex20cdfc

2149884 has 72 divisors (see below), whose sum is σ = 6093360. Its totient is φ = 633600.

The previous prime is 2149883. The next prime is 2149897. The reversal of 2149884 is 4889412.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24112 + ... + 24200.

It is an arithmetic number, because the mean of its divisors is an integer number (84630).

22149884 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 2149884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046680).

2149884 is an abundant number, since it is smaller than the sum of its proper divisors (3943476).

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

2149884 is a wasteful number, since it uses less digits than its factorization.

2149884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2149884 is about 1466.2482736563. The cubic root of 2149884 is about 129.0639668335.

The spelling of 2149884 in words is "two million, one hundred forty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 89 99 122 132 178 183 198 244 267 356 366 396 534 549 671 732 801 979 1068 1098 1342 1602 1958 2013 2196 2684 2937 3204 3916 4026 5429 5874 6039 8052 8811 10858 11748 12078 16287 17622 21716 24156 32574 35244 48861 59719 65148 97722 119438 179157 195444 238876 358314 537471 716628 1074942 2149884