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20222113400 = 23522112272111
BaseRepresentation
bin10010110101010101…
…001111011001111000
31221012022110210112222
4102311111033121320
5312403330112100
613142342023212
71314060061556
oct226525173170
957168423488
1020222113400
118637946115
123b04417b08
131ba3705298
14d9b9c2bd6
157d54e2485
hex4b554f678

20222113400 has 96 divisors (see below), whose sum is σ = 47469818880. Its totient is φ = 8011248000.

The previous prime is 20222113399. The next prime is 20222113447. The reversal of 20222113400 is 431122202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9578345 + ... + 9580455.

It is an arithmetic number, because the mean of its divisors is an integer number (494477280).

Almost surely, 220222113400 is an apocalyptic number.

20222113400 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 20222113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734909440).

20222113400 is an abundant number, since it is smaller than the sum of its proper divisors (27247705480).

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

20222113400 is a wasteful number, since it uses less digits than its factorization.

20222113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20222113400 its reverse (431122202), we get a palindrome (20653235602).

The spelling of 20222113400 in words is "twenty billion, two hundred twenty-two million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 211 227 422 454 844 908 1055 1135 1688 1816 2110 2111 2270 4220 4222 4540 5275 5675 8440 8444 9080 10550 10555 11350 16888 21100 21110 22700 42200 42220 45400 47897 52775 84440 95794 105550 191588 211100 239485 383176 422200 445421 478970 479197 890842 957940 958394 1197425 1781684 1915880 1916788 2227105 2394850 2395985 3563368 3833576 4454210 4789700 4791970 8908420 9579400 9583940 11135525 11979925 17816840 19167880 22271050 23959850 44542100 47919700 89084200 95839400 101110567 202221134 404442268 505552835 808884536 1011105670 2022211340 2527764175 4044422680 5055528350 10111056700 20222113400