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2122484 = 22741317
BaseRepresentation
bin1000000110001011110100
310222211111112
420012023310
51020404414
6113254152
724020000
oct10061364
93884445
102122484
11121a721
12864358
13594110
143d3700
152bdd3e
hex2062f4

2122484 has 60 divisors (see below), whose sum is σ = 4940964. Its totient is φ = 790272.

The previous prime is 2122469. The next prime is 2122489. The reversal of 2122484 is 4842212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 1162084 = 980^2 + 1078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122489) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124844 + ... + 124860.

22122484 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 2122484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470482).

2122484 is an abundant number, since it is smaller than the sum of its proper divisors (2818480).

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

2122484 is a wasteful number, since it uses less digits than its factorization.

2122484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 2122484 is about 1456.8747372372. The cubic root of 2122484 is about 128.5133195376.

Adding to 2122484 its reverse (4842212), we get a palindrome (6964696).

The spelling of 2122484 in words is "two million, one hundred twenty-two thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 343 364 442 476 637 686 833 884 1274 1372 1547 1666 2401 2548 3094 3332 4459 4802 5831 6188 8918 9604 10829 11662 17836 21658 23324 31213 40817 43316 62426 75803 81634 124852 151606 163268 303212 530621 1061242 2122484