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22004002400424 = 23311194386762839
BaseRepresentation
bin1010000000011001101001…
…01111110010100010101000
32212220120011202112100211120
411000030310233302202220
510341003144103303144
6114444255452255240
74430510456251602
oct500146457624250
985816152470746
1022004002400424
117013932791570
122574633a71520
13c37c78aca285
14560ddc4c8172
1528259440ee19
hex140334bf28a8

22004002400424 has 64 divisors (see below), whose sum is σ = 63169384896000. Its totient is φ = 6316938486720.

The previous prime is 22004002400407. The next prime is 22004002400437. The reversal of 22004002400424 is 42400420040022.

It is a super-2 number, since 2×220040024004242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22004002400394 and 22004002400403.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2193376404 + ... + 2193386435.

It is an arithmetic number, because the mean of its divisors is an integer number (987021639000).

Almost surely, 222004002400424 is an apocalyptic number.

22004002400424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22004002400424 is an abundant number, since it is smaller than the sum of its proper divisors (41165382495576).

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

22004002400424 is a wasteful number, since it uses less digits than its factorization.

22004002400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386762878 (or 4386762874 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22004002400424 its reverse (42400420040022), we get a palindrome (64404422440446).

The spelling of 22004002400424 in words is "twenty-two trillion, four billion, two million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 4386762839 8773525678 13160288517 17547051356 26320577034 35094102712 48254391229 52641154068 83348493941 96508782458 105282308136 144763173687 166696987882 193017564916 250045481823 289526347374 333393975764 386035129832 500090963646 579052694748 666787951528 916833433351 1000181927292 1158105389496 1833666866702 2000363854584 2750500300053 3667333733404 5501000600106 7334667466808 11002001200212 22004002400424