Search a number
-
+
22830260 = 22523311601
BaseRepresentation
bin101011100010…
…1110010110100
31120221220020012
41113011302310
521321032020
62133155352
7365024345
oct127056264
946856205
1022830260
1111983792
12778bb58
13496473b
1430640cc
15200e7c5
hex15c5cb4

22830260 has 48 divisors (see below), whose sum is σ = 51674112. Its totient is φ = 8448000.

The previous prime is 22830257. The next prime is 22830277. The reversal of 22830260 is 6203822.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13460 + ... + 15060.

It is an arithmetic number, because the mean of its divisors is an integer number (1076544).

Almost surely, 222830260 is an apocalyptic number.

22830260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22830260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25837056).

22830260 is an abundant number, since it is smaller than the sum of its proper divisors (28843852).

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

22830260 is a wasteful number, since it uses less digits than its factorization.

22830260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 22830260 is about 4778.1021336928. The cubic root of 22830260 is about 283.6853786226.

The spelling of 22830260 in words is "twenty-two million, eight hundred thirty thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 1601 2852 3202 3565 6404 7130 8005 14260 16010 32020 36823 49631 73646 99262 147292 184115 198524 248155 368230 496310 736460 992620 1141513 2283026 4566052 5707565 11415130 22830260