Search a number
-
+
22430196 = 2234107647
BaseRepresentation
bin101010110010…
…0000111110100
31120012120110000
41111210013310
521220231241
62120431300
7361440105
oct125440764
946176400
1022430196
1111730158
127618530
134854609
142d9c3ac
151e80eb6
hex15641f4

22430196 has 60 divisors (see below), whose sum is σ = 59276448. Its totient is φ = 7395408.

The previous prime is 22430179. The next prime is 22430197. The reversal of 22430196 is 69103422.

It is a super-2 number, since 2×224301962 = 1006227385196832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22430197) 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, 34345 + ... + 34991.

Almost surely, 222430196 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 22430196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29638224).

22430196 is an abundant number, since it is smaller than the sum of its proper divisors (36846252).

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

22430196 is a wasteful number, since it uses less digits than its factorization.

22430196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 22430196 is about 4736.0527868680. The cubic root of 22430196 is about 282.0185592131.

The spelling of 22430196 in words is "twenty-two million, four hundred thirty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 642 647 963 1284 1294 1926 1941 2588 2889 3852 3882 5778 5823 7764 8667 11556 11646 17334 17469 23292 34668 34938 52407 69229 69876 104814 138458 207687 209628 276916 415374 623061 830748 1246122 1869183 2492244 3738366 5607549 7476732 11215098 22430196