Search a number
-
+
22430242100 = 2252732043203
BaseRepresentation
bin10100111000111100…
…100101010100110100
32010220012110100200102
4110320330211110310
5331414120221400
614145421533232
71422561624560
oct247074452464
963805410612
1022430242100
119570317972
12441ba14218
132166021806
14112ad786a0
158b42b79d5
hex538f25534

22430242100 has 36 divisors (see below), whose sum is σ = 55627002144. Its totient is φ = 7690368480.

The previous prime is 22430242027. The next prime is 22430242139. The reversal of 22430242100 is 124203422.

It is a super-2 number, since 2×224302421002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16020902 + ... + 16022301.

It is an arithmetic number, because the mean of its divisors is an integer number (1545194504).

Almost surely, 222430242100 is an apocalyptic number.

22430242100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22430242100 is an abundant number, since it is smaller than the sum of its proper divisors (33196760044).

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

22430242100 is a wasteful number, since it uses less digits than its factorization.

22430242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32043224 (or 32043217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22430242100 its reverse (124203422), we get a palindrome (22554445522).

The spelling of 22430242100 in words is "twenty-two billion, four hundred thirty million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 32043203 64086406 128172812 160216015 224302421 320432030 448604842 640864060 801080075 897209684 1121512105 1602160150 2243024210 3204320300 4486048420 5607560525 11215121050 22430242100