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22130440 = 2351937787
BaseRepresentation
bin101010001101…
…0111100001000
31112122100020221
41110122330020
521131133230
62110155424
7356051143
oct124327410
945570227
1022130440
1111545a22
1274b2b74
13477b047
142d2105a
151e2227a
hex151af08

22130440 has 64 divisors (see below), whose sum is σ = 53899200. Its totient is φ = 8149248.

The previous prime is 22130431. The next prime is 22130441. The reversal of 22130440 is 4403122.

It is not an unprimeable number, because it can be changed into a prime (22130441) 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 15 ways as a sum of consecutive naturals, for example, 27727 + ... + 28513.

It is an arithmetic number, because the mean of its divisors is an integer number (842175).

Almost surely, 222130440 is an apocalyptic number.

22130440 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 22130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26949600).

22130440 is an abundant number, since it is smaller than the sum of its proper divisors (31768760).

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

22130440 is a wasteful number, since it uses less digits than its factorization.

22130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22130440 is about 4704.3001604915. The cubic root of 22130440 is about 280.7566270403.

Adding to 22130440 its reverse (4403122), we get a palindrome (26533562).

The spelling of 22130440 in words is "twenty-two million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 787 1406 1480 1574 2812 3148 3515 3935 5624 6296 7030 7870 14060 14953 15740 28120 29119 29906 31480 58238 59812 74765 116476 119624 145595 149530 232952 291190 299060 553261 582380 598120 1106522 1164760 2213044 2766305 4426088 5532610 11065220 22130440