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2122624 = 27723103
BaseRepresentation
bin1000000110001110000000
310222211200201
420012032000
51020410444
6113254544
724020260
oct10061600
93884621
102122624
11121a839
12864454
135941ba
143d37a0
152bddd4
hex206380

2122624 has 64 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 861696.

The previous prime is 2122619. The next prime is 2122633. The reversal of 2122624 is 4262212.

It is a tau number, because it is divible by the number of its divisors (64).

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, 20557 + ... + 20659.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

22122624 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 2122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

2122624 is an abundant number, since it is smaller than the sum of its proper divisors (2969216).

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

2122624 is a wasteful number, since it uses less digits than its factorization.

2122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 2122624 is about 1456.9227845016. The cubic root of 2122624 is about 128.5161450743.

Adding to 2122624 its reverse (4262212), we get a palindrome (6384836).

The spelling of 2122624 in words is "two million, one hundred twenty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 103 112 128 161 184 206 224 322 368 412 448 644 721 736 824 896 1288 1442 1472 1648 2369 2576 2884 2944 3296 4738 5152 5768 6592 9476 10304 11536 13184 16583 18952 20608 23072 33166 37904 46144 66332 75808 92288 132664 151616 265328 303232 530656 1061312 2122624