Search a number
-
+
22431100 = 2252415471
BaseRepresentation
bin101010110010…
…0010101111100
31120012121200111
41111210111330
521220243400
62120435404
7361442536
oct125442574
946177614
1022431100
11117308aa
127618b64
134854b53
142d9c856
151e813ba
hex156457c

22431100 has 36 divisors (see below), whose sum is σ = 49871808. Its totient is φ = 8752000.

The previous prime is 22431089. The next prime is 22431107. The reversal of 22431100 is 113422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1365 + ... + 6835.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 222431100 is an apocalyptic number.

22431100 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 22431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24935904).

22431100 is an abundant number, since it is smaller than the sum of its proper divisors (27440708).

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

22431100 is a wasteful number, since it uses less digits than its factorization.

22431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22431100 is about 4736.1482240318. The cubic root of 22431100 is about 282.0223478760.

Adding to 22431100 its reverse (113422), we get a palindrome (22544522).

The spelling of 22431100 in words is "twenty-two million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5471 10942 21884 27355 54710 109420 136775 224311 273550 448622 547100 897244 1121555 2243110 4486220 5607775 11215550 22431100