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22132300212 = 223211237137321
BaseRepresentation
bin10100100111001100…
…000001100110110100
32010010102211100020200
4110213030001212310
5330311332101322
614100100000500
71412313306411
oct244714014664
963112740220
1022132300212
119428119800
124358090130
132119394739
1410dd57d108
158980638ac
hex5273019b4

22132300212 has 108 divisors (see below), whose sum is σ = 63156310308. Its totient is φ = 6525446400.

The previous prime is 22132300207. The next prime is 22132300231. The reversal of 22132300212 is 21200323122.

22132300212 is a `hidden beast` number, since 22 + 132 + 300 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19688579856 + 2443720356 = 140316^2 + 49434^2 .

It is a super-3 number, since 3×221323002123 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92512 + ... + 229832.

It is an arithmetic number, because the mean of its divisors is an integer number (584780651).

Almost surely, 222132300212 is an apocalyptic number.

22132300212 is a gapful number since it is divisible by the number (22) 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 22132300212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31578155154).

22132300212 is an abundant number, since it is smaller than the sum of its proper divisors (41024010096).

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

22132300212 is a wasteful number, since it uses less digits than its factorization.

22132300212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137390 (or 137374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22132300212 its reverse (21200323122), we get a palindrome (43332623334).

The spelling of 22132300212 in words is "twenty-two billion, one hundred thirty-two million, three hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 121 132 148 198 222 242 333 363 396 407 444 484 666 726 814 1089 1221 1332 1452 1628 2178 2442 3663 4356 4477 4884 7326 8954 13431 14652 17908 26862 40293 53724 80586 137321 161172 274642 411963 549284 823926 1235889 1510531 1647852 2471778 3021062 4531593 4943556 5080877 6042124 9063186 10161754 13594779 15242631 16615841 18126372 20323508 27189558 30485262 33231682 45727893 49847523 54379116 55889647 60970524 66463364 91455786 99695046 111779294 149542569 167668941 182911572 199390092 223558588 299085138 335337882 503006823 598170276 614786117 670675764 1006013646 1229572234 1844358351 2012027292 2459144468 3688716702 5533075053 7377433404 11066150106 22132300212