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22122212200 = 23521121753773
BaseRepresentation
bin10100100110100101…
…100010101101101000
32010002201211211002121
4110212211202231220
5330301241242300
614055055441024
71412131462324
oct244645425550
963081754077
1022122212200
119422459500
124354826174
132117271aba
1410dc0b4984
1589721e81a
hex526962b68

22122212200 has 144 divisors (see below), whose sum is σ = 59861754540. Its totient is φ = 7571097600.

The previous prime is 22122212143. The next prime is 22122212201. The reversal of 22122212200 is 221222122.

It can be written as a sum of positive squares in 6 ways, for example, as 13375847716 + 8746364484 = 115654^2 + 93522^2 .

It is not an unprimeable number, because it can be changed into a prime (22122212201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384514 + ... + 438286.

Almost surely, 222122212200 is an apocalyptic number.

22122212200 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 22122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29930877270).

22122212200 is an abundant number, since it is smaller than the sum of its proper divisors (37739542340).

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

22122212200 is a wasteful number, since it uses less digits than its factorization.

22122212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53828 (or 53808 counting only the distinct ones).

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

Adding to 22122212200 its reverse (221222122), we get a palindrome (22343434322).

22122212200 divided by its reverse (221222122) gives a square (100 = 102).

The spelling of 22122212200 in words is "twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 121 136 170 187 200 220 242 275 340 374 425 440 484 550 605 680 748 850 935 968 1100 1210 1496 1700 1870 2057 2200 2420 3025 3400 3740 4114 4675 4840 6050 7480 8228 9350 10285 12100 16456 18700 20570 24200 37400 41140 51425 53773 82280 102850 107546 205700 215092 268865 411400 430184 537730 591503 914141 1075460 1183006 1344325 1828282 2150920 2366012 2688650 2957515 3656564 4570705 4732024 5377300 5915030 6506533 7313128 9141410 10055551 10754600 11830060 13013066 14787575 18282820 20111102 22853525 23660120 26026132 29575150 32532665 36565640 40222204 45707050 50277755 52052264 59150300 65065330 80444408 91414100 100555510 110611061 118300600 130130660 162663325 182828200 201111020 221222122 251388775 260261320 325326650 402222040 442444244 502777550 553055305 650653300 884888488 1005555100 1106110610 1301306600 2011110200 2212221220 2765276525 4424442440 5530553050 11061106100 22122212200