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22128930 = 2335411999
BaseRepresentation
bin101010001101…
…0100100100010
31112122021012000
41110122210202
521131111210
62110144430
7356043555
oct124324442
945567160
1022128930
111154487a
1274b2116
13477a455
142d2069c
151e21ac0
hex151a922

22128930 has 64 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 5754240.

The previous prime is 22128929. The next prime is 22128937. The reversal of 22128930 is 3982122.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22128894 and 22128903.

It is not an unprimeable number, because it can be changed into a prime (22128937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10071 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 222128930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22128930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

22128930 is an abundant number, since it is smaller than the sum of its proper divisors (38351070).

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

22128930 is a wasteful number, since it uses less digits than its factorization.

22128930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2050 counting only the distinct ones).

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

The square root of 22128930 is about 4704.1396662939. The cubic root of 22128930 is about 280.7502413840.

The spelling of 22128930 in words is "twenty-two million, one hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 1999 2214 3690 3998 5535 5997 9995 11070 11994 17991 19990 29985 35982 53973 59970 81959 89955 107946 163918 179910 245877 269865 409795 491754 539730 737631 819590 1229385 1475262 2212893 2458770 3688155 4425786 7376310 11064465 22128930