Search a number
-
+
22659028 = 22717181263
BaseRepresentation
bin101011001101…
…1111111010100
31120122012100021
41112123333110
521300042103
62125354524
7363412210
oct126337724
946565307
1022659028
1111877077
127708a44
134904812
14301b940
151ec8bbd
hex159bfd4

22659028 has 48 divisors (see below), whose sum is σ = 48432384. Its totient is φ = 9054720.

The previous prime is 22659023. The next prime is 22659031. The reversal of 22659028 is 82095622.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 22658984 and 22659002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22659023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86025 + ... + 86287.

It is an arithmetic number, because the mean of its divisors is an integer number (1009008).

Almost surely, 222659028 is an apocalyptic number.

22659028 is a gapful number since it is divisible by the number (28) 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 22659028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24216192).

22659028 is an abundant number, since it is smaller than the sum of its proper divisors (25773356).

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

22659028 is a wasteful number, since it uses less digits than its factorization.

22659028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 22659028 is about 4760.1499976366. The cubic root of 22659028 is about 282.9743636955.

The spelling of 22659028 in words is "twenty-two million, six hundred fifty-nine thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 181 238 263 362 476 526 724 1052 1267 1841 2534 3077 3682 4471 5068 6154 7364 8942 12308 17884 21539 31297 43078 47603 62594 86156 95206 125188 190412 333221 666442 809251 1332884 1618502 3237004 5664757 11329514 22659028