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22430112 = 253317537
BaseRepresentation
bin101010110010…
…0000110100000
31120012120022220
41111210012200
521220230422
62120431040
7361436625
oct125440640
946176286
1022430112
1111730091
127618480
134854573
142d9c34c
151e80e5c
hex15641a0

22430112 has 48 divisors (see below), whose sum is σ = 60786432. Its totient is φ = 7234560.

The previous prime is 22430101. The next prime is 22430153. The reversal of 22430112 is 21103422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 22430091 and 22430100.

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, 793 + ... + 6744.

It is an arithmetic number, because the mean of its divisors is an integer number (1266384).

Almost surely, 222430112 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 22430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30393216).

22430112 is an abundant number, since it is smaller than the sum of its proper divisors (38356320).

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

22430112 is a wasteful number, since it uses less digits than its factorization.

22430112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7581 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22430112 is about 4736.0439187153. The cubic root of 22430112 is about 282.0182071641.

Adding to 22430112 its reverse (21103422), we get a palindrome (43533534).

The spelling of 22430112 in words is "twenty-two million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 7537 15074 22611 30148 45222 60296 90444 120592 180888 233647 241184 361776 467294 700941 723552 934588 1401882 1869176 2803764 3738352 5607528 7476704 11215056 22430112