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21227104400 = 2452173121633
BaseRepresentation
bin10011110001001110…
…111110100010010000
32000210100112122000212
4103301032332202100
5321433114320100
613430202303252
71351012260515
oct236116764220
960710478025
1021227104400
119003168797
124144ab7b28
13200399c108
14105526d30c
1584385c635
hex4f13be890

21227104400 has 60 divisors (see below), whose sum is σ = 53998024932. Its totient is φ = 7991377920.

The previous prime is 21227104357. The next prime is 21227104427. The reversal of 21227104400 is 440172212.

It can be written as a sum of positive squares in 6 ways, for example, as 5607424 + 21221496976 = 2368^2 + 145676^2 .

It is a super-2 number, since 2×212271044002 (a number of 21 digits) contains 22 as substring.

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, 1554017 + ... + 1567616.

Almost surely, 221227104400 is an apocalyptic number.

21227104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21227104400 is an abundant number, since it is smaller than the sum of its proper divisors (32770920532).

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

21227104400 is a wasteful number, since it uses less digits than its factorization.

21227104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121668 (or 3121657 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 21227104400 its reverse (440172212), we get a palindrome (21667276612).

The spelling of 21227104400 in words is "twenty-one billion, two hundred twenty-seven million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 3121633 6243266 12486532 15608165 24973064 31216330 49946128 53067761 62432660 78040825 106135522 124865320 156081650 212271044 249730640 265338805 312163300 424542088 530677610 624326600 849084176 1061355220 1248653200 1326694025 2122710440 2653388050 4245420880 5306776100 10613552200 21227104400