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22130892 = 22327531657
BaseRepresentation
bin101010001101…
…1000011001100
31112122100212200
41110123003030
521131142032
62110201500
7356052360
oct124330314
945570780
1022130892
11115462a3
1274b3290
13477b304
142d212a0
151e2247c
hex151b0cc

22130892 has 72 divisors (see below), whose sum is σ = 65179296. Its totient is φ = 6200064.

The previous prime is 22130891. The next prime is 22130897. The reversal of 22130892 is 29803122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22130891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12528 + ... + 14184.

It is an arithmetic number, because the mean of its divisors is an integer number (905268).

Almost surely, 222130892 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 22130892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32589648).

22130892 is an abundant number, since it is smaller than the sum of its proper divisors (43048404).

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

22130892 is a wasteful number, since it uses less digits than its factorization.

22130892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1722 counting only the distinct ones).

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

The square root of 22130892 is about 4704.3482013984. The cubic root of 22130892 is about 280.7585384518.

It can be divided in two parts, 221 and 30892, that added together give a palindrome (31113).

The spelling of 22130892 in words is "twenty-two million, one hundred thirty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 742 954 1113 1484 1657 1908 2226 3314 3339 4452 4971 6628 6678 9942 11599 13356 14913 19884 23198 29826 34797 46396 59652 69594 87821 104391 139188 175642 208782 263463 351284 417564 526926 614747 790389 1053852 1229494 1580778 1844241 2458988 3161556 3688482 5532723 7376964 11065446 22130892