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20221140 = 22352314653
BaseRepresentation
bin100110100100…
…0110011010100
31102001100012010
41031020303110
520134034030
62001224220
7333606522
oct115106324
942040163
1020221140
1110461495
126932070
13425cc94
142985312
151b966b0
hex1348cd4

20221140 has 48 divisors (see below), whose sum is σ = 59084928. Its totient is φ = 5157504.

The previous prime is 20221133. The next prime is 20221141. The reversal of 20221140 is 4112202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221141) 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, 5947 + ... + 8706.

It is an arithmetic number, because the mean of its divisors is an integer number (1230936).

Almost surely, 220221140 is an apocalyptic number.

20221140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221140 is an abundant number, since it is smaller than the sum of its proper divisors (38863788).

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

20221140 is a wasteful number, since it uses less digits than its factorization.

20221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14688 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20221140 is about 4496.7921899950. The cubic root of 20221140 is about 272.4385406945.

Adding to 20221140 its reverse (4112202), we get a palindrome (24333342).

The spelling of 20221140 in words is "twenty million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 14653 29306 43959 58612 73265 87918 146530 175836 219795 293060 337019 439590 674038 879180 1011057 1348076 1685095 2022114 3370190 4044228 5055285 6740380 10110570 20221140