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21222122200 = 23521953105373
BaseRepresentation
bin10011110000111011…
…111110001011011000
32000210000011111201221
4103300323332023120
5321430330402300
613425503421424
71350622030246
oct236073761330
960700144657
1021222122200
119000375574
1241432b4874
132002946476
141054733796
158431c631a
hex4f0efe2d8

21222122200 has 96 divisors (see below), whose sum is σ = 52918822800. Its totient is φ = 7890255360.

The previous prime is 21222122191. The next prime is 21222122209. The reversal of 21222122200 is 222122212.

It is an interprime number because it is at equal distance from previous prime (21222122191) and next prime (21222122209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222122209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148714 + ... + 254086.

Almost surely, 221222122200 is an apocalyptic number.

21222122200 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 21222122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26459411400).

21222122200 is an abundant number, since it is smaller than the sum of its proper divisors (31696700600).

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

21222122200 is a wasteful number, since it uses less digits than its factorization.

21222122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105461 (or 105452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21222122200 its reverse (222122212), we get a palindrome (21444244412).

The spelling of 21222122200 in words is "twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 53 76 95 100 106 152 190 200 212 265 380 424 475 530 760 950 1007 1060 1325 1900 2014 2120 2650 3800 4028 5035 5300 8056 10070 10600 20140 25175 40280 50350 100700 105373 201400 210746 421492 526865 842984 1053730 2002087 2107460 2634325 4004174 4214920 5268650 5584769 8008348 10010435 10537300 11169538 16016696 20020870 21074600 22339076 27923845 40041740 44678152 50052175 55847690 80083480 100104350 106110611 111695380 139619225 200208700 212221222 223390760 279238450 400417400 424442444 530553055 558476900 848884888 1061106110 1116953800 2122212220 2652765275 4244424440 5305530550 10611061100 21222122200