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22224404240079 = 3316112749196271
BaseRepresentation
bin1010000110110100001011…
…01110000101011011001111
32220200122001221110212221220
411003122011232011123033
510403111034441140304
6115133430024454423
74452442312055646
oct503320556053317
986618057425856
1022224404240079
117099353893878
1225ab2a401a413
13c529a1b2ab02
1456b949db435d
15288193a28ad9
hex143685b856cf

22224404240079 has 64 divisors (see below), whose sum is σ = 31346047057920. Its totient is φ = 13987146096000.

The previous prime is 22224404240069. The next prime is 22224404240131. The reversal of 22224404240079 is 97004240442222.

It is not a de Polignac number, because 22224404240079 - 25 = 22224404240047 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22224404240079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22224404240009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3543993714 + ... + 3543999984.

It is an arithmetic number, because the mean of its divisors is an integer number (489781985280).

Almost surely, 222224404240079 is an apocalyptic number.

22224404240079 is a deficient number, since it is larger than the sum of its proper divisors (9121642817841).

22224404240079 is a wasteful number, since it uses less digits than its factorization.

22224404240079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412.

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 22224404240079 in words is "twenty-two trillion, two hundred twenty-four billion, four hundred four million, two hundred forty thousand, seventy-nine".

Divisors: 1 3 31 61 93 127 183 381 1891 3937 4919 5673 6271 7747 11811 14757 18813 23241 152489 194401 240157 300059 382531 457467 583203 624713 720471 796417 900177 1147593 1874139 2389251 9301829 11858461 19366103 24688927 27905487 30847049 35575383 38107493 48581437 58098309 74066781 92541147 114322479 145744311 956258519 1181332283 1506024547 1881669989 2868775557 3543996849 3917575223 4518073641 5645009967 11752725669 58331769659 121444831913 174995308977 238972088603 364334495739 716916265809 7408134746693 22224404240079