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22312203012 = 223211211345329
BaseRepresentation
bin10100110001111010…
…010011001100000100
32010120222100100111100
4110301322103030010
5331143410444022
614130003540100
71416626411361
oct246172231404
963528310440
1022312203012
11950a725400
1243a838a630
1321477332b8
14111940d468
158a8c4d1ac
hex531e93304

22312203012 has 108 divisors (see below), whose sum is σ = 62543704860. Its totient is φ = 6701291520.

The previous prime is 22312203007. The next prime is 22312203013. The reversal of 22312203012 is 21030221322.

It can be written as a sum of positive squares in 2 ways, for example, as 5165871876 + 17146331136 = 71874^2 + 130944^2 .

It is a super-3 number, since 3×223122030123 (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 not an unprimeable number, because it can be changed into a prime (22312203013) 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, 469564 + ... + 514892.

Almost surely, 222312203012 is an apocalyptic number.

22312203012 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 22312203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31271852430).

22312203012 is an abundant number, since it is smaller than the sum of its proper divisors (40231501848).

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

22312203012 is a wasteful number, since it uses less digits than its factorization.

22312203012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45474 (or 45458 counting only the distinct ones).

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

Adding to 22312203012 its reverse (21030221322), we get a palindrome (43342424334).

The spelling of 22312203012 in words is "twenty-two billion, three hundred twelve million, two hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 113 121 132 198 226 242 339 363 396 452 484 678 726 1017 1089 1243 1356 1452 2034 2178 2486 3729 4068 4356 4972 7458 11187 13673 14916 22374 27346 41019 44748 45329 54692 82038 90658 123057 135987 164076 181316 246114 271974 407961 492228 498619 543948 815922 997238 1495857 1631844 1994476 2991714 4487571 5122177 5484809 5983428 8975142 10244354 10969618 15366531 16454427 17950284 20488708 21939236 30733062 32908854 46099593 49363281 56343947 61466124 65817708 92199186 98726562 112687894 169031841 184398372 197453124 225375788 338063682 507095523 619783417 676127364 1014191046 1239566834 1859350251 2028382092 2479133668 3718700502 5578050753 7437401004 11156101506 22312203012