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21200222112 = 253376019931
BaseRepresentation
bin10011101111101000…
…011011011110100000
32000201110221212110120
4103233220123132200
5321404224101422
613423402200240
71350234625506
oct235750333640
960643855416
1021200222112
118a99a77723
124137ab3080
131ccb249234
141051872676
158412ec45c
hex4efa1b7a0

21200222112 has 96 divisors (see below), whose sum is σ = 57255516864. Its totient is φ = 6863616000.

The previous prime is 21200222111. The next prime is 21200222137. The reversal of 21200222112 is 21122200212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 21200222091 and 21200222100.

It is not an unprimeable number, because it can be changed into a prime (21200222111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2129787 + ... + 2139717.

It is an arithmetic number, because the mean of its divisors is an integer number (596411634).

Almost surely, 221200222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28627758432).

21200222112 is an abundant number, since it is smaller than the sum of its proper divisors (36055294752).

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

21200222112 is a wasteful number, since it uses less digits than its factorization.

21200222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21200222112 its reverse (21122200212), we get a palindrome (42322422324).

The spelling of 21200222112 in words is "twenty-one billion, two hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 601 888 1184 1202 1776 1803 2404 3552 3606 4808 7212 9616 9931 14424 19232 19862 22237 28848 29793 39724 44474 57696 59586 66711 79448 88948 119172 133422 158896 177896 238344 266844 317792 355792 367447 476688 533688 711584 734894 953376 1067376 1102341 1469788 2134752 2204682 2939576 4409364 5879152 5968531 8818728 11758304 11937062 17637456 17905593 23874124 35274912 35811186 47748248 71622372 95496496 143244744 190992992 220835647 286489488 441671294 572978976 662506941 883342588 1325013882 1766685176 2650027764 3533370352 5300055528 7066740704 10600111056 21200222112