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22298130 = 23251092273
BaseRepresentation
bin101010100001…
…1111000010010
31112221212021200
41111003320102
521202020010
62113532030
7360350061
oct125037022
945855250
1022298130
111164aa08
127574016
13480947a
142d661d8
151e56cc0
hex1543e12

22298130 has 48 divisors (see below), whose sum is σ = 58532760. Its totient is φ = 5889024.

The previous prime is 22298119. The next prime is 22298131. The reversal of 22298130 is 3189222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21874329 + 423801 = 4677^2 + 651^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22298094 and 22298103.

It is not an unprimeable number, because it can be changed into a prime (22298131) 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, 8674 + ... + 10946.

Almost surely, 222298130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22298130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29266380).

22298130 is an abundant number, since it is smaller than the sum of its proper divisors (36234630).

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

22298130 is a wasteful number, since it uses less digits than its factorization.

22298130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22298130 is about 4722.0895798365. The cubic root of 22298130 is about 281.4639734652.

The spelling of 22298130 in words is "twenty-two million, two hundred ninety-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 2273 3270 4546 4905 6819 9810 11365 13638 20457 22730 34095 40914 68190 102285 204570 247757 495514 743271 1238785 1486542 2229813 2477570 3716355 4459626 7432710 11149065 22298130