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22442130 = 2335431933
BaseRepresentation
bin101010110011…
…1000010010010
31120020011211000
41111213002102
521221122010
62121002430
7361516644
oct125470222
946204730
1022442130
1111739117
127623416
134859b89
142da2894
151e847c0
hex1567092

22442130 has 64 divisors (see below), whose sum is σ = 61269120. Its totient is φ = 5842368.

The previous prime is 22442117. The next prime is 22442149. The reversal of 22442130 is 3124422.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10644 + ... + 12576.

It is an arithmetic number, because the mean of its divisors is an integer number (957330).

Almost surely, 222442130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30634560).

22442130 is an abundant number, since it is smaller than the sum of its proper divisors (38826990).

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

22442130 is a wasteful number, since it uses less digits than its factorization.

22442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22442130 is about 4737.3125292723. The cubic root of 22442130 is about 282.0685663965.

Adding to 22442130 its reverse (3124422), we get a palindrome (25566552).

The spelling of 22442130 in words is "twenty-two million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1933 1935 2322 3866 3870 5799 5805 9665 11598 11610 17397 19330 28995 34794 52191 57990 83119 86985 104382 166238 173970 249357 260955 415595 498714 521910 748071 831190 1246785 1496142 2244213 2493570 3740355 4488426 7480710 11221065 22442130