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2222345442204 = 2234107101363281
BaseRepresentation
bin100000010101101110000…
…111000101001110011100
321212110021002000121120000
4200111232013011032130
5242402330413122304
64420533103254300
7316362535402626
oct40255607051634
97773232017500
102222345442204
1178754507a498
122ba856baa390
13131749153ca4
14797c2553c16
153cc1d068939
hex2056e1c539c

2222345442204 has 120 divisors (see below), whose sum is σ = 5869827211248. Its totient is φ = 733122593280.

The previous prime is 2222345442203. The next prime is 2222345442209. The reversal of 2222345442204 is 4022445432222.

2222345442204 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 3 + 4 + 5 + 442 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222345442203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35087044 + ... + 35150324.

Almost surely, 22222345442204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222345442204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934913605624).

2222345442204 is an abundant number, since it is smaller than the sum of its proper divisors (3647481769044).

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

2222345442204 is a wasteful number, since it uses less digits than its factorization.

2222345442204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64417 (or 64406 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

The spelling of 2222345442204 in words is "two trillion, two hundred twenty-two billion, three hundred forty-five million, four hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 642 963 1013 1284 1926 2026 2889 3039 3852 4052 5778 6078 8667 9117 11556 12156 17334 18234 27351 34668 36468 54702 63281 82053 108391 109404 126562 164106 189843 216782 253124 325173 328212 379686 433564 569529 650346 759372 975519 1139058 1300692 1708587 1951038 2278116 2926557 3417174 3902076 5125761 5853114 6771067 6834348 8779671 10251522 11706228 13542134 17559342 20313201 20503044 27084268 35118684 40626402 60939603 64103653 81252804 121879206 128207306 182818809 192310959 243758412 256414612 365637618 384621918 548456427 576932877 731275236 769243836 1096912854 1153865754 1730798631 2193825708 2307731508 3461597262 5192395893 6859090871 6923194524 10384791786 13718181742 20577272613 20769583572 27436363484 41154545226 61731817839 82309090452 123463635678 185195453517 246927271356 370390907034 555586360551 740781814068 1111172721102 2222345442204