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2221424023456 = 251152327114451
BaseRepresentation
bin100000010100110111001…
…100001001011110100000
321212100212212012200122201
4200110313030021132200
5242343434022222311
64420301430142544
7316330646435611
oct40246714113640
97770785180581
102221424023456
11787111a489a0
122ba63a4b1a54
1313163029b4b1
147973601dc08
153cbb720a9c1
hex205373097a0

2221424023456 has 96 divisors (see below), whose sum is σ = 4782972934656. Its totient is φ = 1007209440000.

The previous prime is 2221424023391. The next prime is 2221424023457. The reversal of 2221424023456 is 6543204241222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2221424023457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499082031 + ... + 499086481.

It is an arithmetic number, because the mean of its divisors is an integer number (49822634736).

Almost surely, 22221424023456 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 2221424023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391486467328).

2221424023456 is an abundant number, since it is smaller than the sum of its proper divisors (2561548911200).

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

2221424023456 is a wasteful number, since it uses less digits than its factorization.

2221424023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 2221424023456 its reverse (6543204241222), we get a palindrome (8764628264678).

The spelling of 2221424023456 in words is "two trillion, two hundred twenty-one billion, four hundred twenty-four million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 523 1046 2092 2711 4184 4451 5422 5753 8368 8902 10844 11506 16736 17804 21688 23012 29821 35608 43376 46024 48961 59642 71216 86752 92048 97922 119284 142432 184096 195844 238568 391688 477136 783376 954272 1417853 1566752 2327873 2835706 4655746 5671412 9311492 11342824 12066661 15596383 18622984 22685648 24133322 25606603 31192766 37245968 45371296 48266644 51213206 62385532 74491936 96533288 102426412 124771064 132733271 193066576 204852824 249542128 265466542 386133152 409705648 499084256 530933084 819411296 1061866168 2123732336 4247464672 6310863703 12621727406 25243454812 50486909624 69419500733 100973819248 138839001466 201947638496 277678002932 555356005864 1110712011728 2221424023456