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2125422 = 2321331293
BaseRepresentation
bin1000000110111001101110
310222222112100
420012321232
51021003142
6113315530
724031365
oct10067156
93888470
102125422
111221952
12865ba6
13595560
143d47dc
152beb4c
hex206e6e

2125422 has 48 divisors (see below), whose sum is σ = 5136768. Its totient is φ = 630720.

The previous prime is 2125411. The next prime is 2125429. The reversal of 2125422 is 2245212.

2125422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 23 + 1 + 213 + 59 + 44 + 215 + 217 .

It is a junction number, because it is equal to n+sod(n) for n = 2125395 and 2125404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7108 + ... + 7400.

It is an arithmetic number, because the mean of its divisors is an integer number (107016).

22125422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568384).

2125422 is an abundant number, since it is smaller than the sum of its proper divisors (3011346).

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

2125422 is a wasteful number, since it uses less digits than its factorization.

2125422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2125422 is about 1457.8827113317. The cubic root of 2125422 is about 128.5725894075.

The spelling of 2125422 in words is "two million, one hundred twenty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 293 403 558 586 806 879 1209 1758 2418 2637 3627 3809 5274 7254 7618 9083 11427 18166 22854 27249 34281 54498 68562 81747 118079 163494 236158 354237 708474 1062711 2125422