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22320022012002 = 23311132890445741
BaseRepresentation
bin1010001001100110010001…
…11110111100000001100010
32221000202212201011222102000
411010303020332330001202
510411142401113341002
6115245402045304430
74462365644525211
oct504631076740142
987022781158360
1022320022012002
1171259605a9080
12260592a265116
13c5b9cc78a790
1457241b025078
1528a8dd18a61c
hex144cc8fbc062

22320022012002 has 64 divisors (see below), whose sum is σ = 58271386158720. Its totient is φ = 6243362798400.

The previous prime is 22320022011979. The next prime is 22320022012009. The reversal of 22320022012002 is 20021022002322.

22320022012002 is a `hidden beast` number, since 2 + 2 + 320 + 0 + 220 + 120 + 0 + 2 = 666.

It is a super-3 number, since 3×223200220120023 (a number of 41 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 (22320022012009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445215149 + ... + 1445230592.

It is an arithmetic number, because the mean of its divisors is an integer number (910490408730).

Almost surely, 222320022012002 is an apocalyptic number.

22320022012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22320022012002 is an abundant number, since it is smaller than the sum of its proper divisors (35951364146718).

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

22320022012002 is a wasteful number, since it uses less digits than its factorization.

22320022012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890445776 (or 2890445770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22320022012002 its reverse (20021022002322), we get a palindrome (42341044014324).

The spelling of 22320022012002 in words is "twenty-two trillion, three hundred twenty billion, twenty-two million, twelve thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 702 858 1287 2574 3861 7722 2890445741 5780891482 8671337223 17342674446 26014011669 31794903151 37575794633 52028023338 63589806302 75151589266 78042035007 95384709453 112727383899 156084070014 190769418906 225454767798 286154128359 338182151697 413333740963 572308256718 676364303394 826667481926 858462385077 1014546455091 1240001222889 1716924770154 2029092910182 2480002445778 3720003668667 7440007337334 11160011006001 22320022012002