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22022400034140 = 22351166851499129
BaseRepresentation
bin1010000000111011111010…
…10101001100010101011100
32212222022122220220222202220
411000131331111030111130
510341303333402043030
6114500541221345340
74432031413461642
oct500357525142534
985868586828686
1022022400034140
117020713773030
122578109268250
13c3991b52107c
14561c65a61192
15282cbe660a10
hex14077d54c55c

22022400034140 has 96 divisors (see below), whose sum is σ = 67269562940160. Its totient is φ = 5338673088000.

The previous prime is 22022400034051. The next prime is 22022400034147. The reversal of 22022400034140 is 4143000422022.

It is a super-2 number, since 2×220224000341402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22022400034140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022400034147) 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, 43872096 + ... + 44371224.

It is an arithmetic number, because the mean of its divisors is an integer number (700724613960).

Almost surely, 222022400034140 is an apocalyptic number.

22022400034140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022400034140 is an abundant number, since it is smaller than the sum of its proper divisors (45247162906020).

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

22022400034140 is a wasteful number, since it uses less digits than its factorization.

22022400034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566003 (or 566001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 22022400034140 its reverse (4143000422022), we get a palindrome (26165400456162).

The spelling of 22022400034140 in words is "twenty-two trillion, twenty-two billion, four hundred million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 66851 133702 200553 267404 334255 401106 499129 668510 735361 802212 998258 1002765 1337020 1470722 1497387 1996516 2005530 2206083 2495645 2941444 2994774 3676805 4011060 4412166 4991290 5490419 5989548 7353610 7486935 8824332 9982580 10980838 11030415 14707220 14973870 16471257 21961676 22060830 27452095 29947740 32942514 44121660 54904190 65885028 82356285 109808380 164712570 329425140 33367272779 66734545558 100101818337 133469091116 166836363895 200203636674 333672727790 367040000569 400407273348 500509091685 667345455580 734080001138 1001018183370 1101120001707 1468160002276 1835200002845 2002036366740 2202240003414 3670400005690 4404480006828 5505600008535 7340800011380 11011200017070 22022400034140