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22053021140 = 2257344933641
BaseRepresentation
bin10100100010011101…
…100110010111010100
32002220220122112210202
4110202131212113110
5330131033134030
614044144440032
71410331405163
oct244235462724
962826575722
1022053021140
1193973a0207
124335619018
132105b27547
1410d2c233da
15891103745
hex5227665d4

22053021140 has 48 divisors (see below), whose sum is σ = 47051701200. Its totient is φ = 8680734720.

The previous prime is 22053021091. The next prime is 22053021181. The reversal of 22053021140 is 4112035022.

It can be written as a sum of positive squares in 8 ways, for example, as 801795856 + 21251225284 = 28316^2 + 145778^2 .

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 15 ways as a sum of consecutive naturals, for example, 638720 + ... + 672360.

It is an arithmetic number, because the mean of its divisors is an integer number (980243775).

Almost surely, 222053021140 is an apocalyptic number.

22053021140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22053021140 is an abundant number, since it is smaller than the sum of its proper divisors (24998680060).

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

22053021140 is a wasteful number, since it uses less digits than its factorization.

22053021140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34172 (or 34170 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 22053021140 its reverse (4112035022), we get a palindrome (26165056162).

The spelling of 22053021140 in words is "twenty-two billion, fifty-three million, twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 449 730 898 1460 1796 2245 4490 8980 32777 33641 65554 67282 131108 134564 163885 168205 327770 336410 655540 672820 2455793 4911586 9823172 12278965 15104809 24557930 30209618 49115860 60419236 75524045 151048090 302096180 1102651057 2205302114 4410604228 5513255285 11026510570 22053021140