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22422042044040 = 2335312194433247
BaseRepresentation
bin1010001100100100010011…
…10110011110011010001000
32221101112012122212120200010
411012102021312132122020
510414330320230402130
6115404313252511520
74502640050510022
oct506221166363210
987345178776603
1022422042044040
117165153213141
12262166061b5a0
13c6850a939442
14577338477012
1528d3ae8e30b0
hex146489d9e688

22422042044040 has 96 divisors (see below), whose sum is σ = 69505997495040. Its totient is φ = 5786333400960.

The previous prime is 22422042043993. The next prime is 22422042044069. The reversal of 22422042044040 is 4044024022422.

It is a happy number.

It is a super-2 number, since 2×224220420440402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22422042043989 and 22422042044007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97101304 + ... + 97331943.

It is an arithmetic number, because the mean of its divisors is an integer number (724020807240).

Almost surely, 222422042044040 is an apocalyptic number.

22422042044040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422042044040 is an abundant number, since it is smaller than the sum of its proper divisors (47083955451000).

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

22422042044040 is a wasteful number, since it uses less digits than its factorization.

22422042044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194433323 (or 194433288 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 22422042044040 its reverse (4044024022422), we get a palindrome (26466066066462).

The spelling of 22422042044040 in words is "twenty-two trillion, four hundred twenty-two billion, forty-two million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 961 1240 1860 1922 2883 3720 3844 4805 5766 7688 9610 11532 14415 19220 23064 28830 38440 57660 115320 194433247 388866494 583299741 777732988 972166235 1166599482 1555465976 1944332470 2333198964 2916498705 3888664940 4666397928 5832997410 6027430657 7777329880 11665994820 12054861314 18082291971 23331989640 24109722628 30137153285 36164583942 48219445256 60274306570 72329167884 90411459855 120548613140 144658335768 180822919710 186850350367 241097226280 361645839420 373700700734 560551051101 723291678840 747401401468 934251751835 1121102102202 1494802802936 1868503503670 2242204204404 2802755255505 3737007007340 4484408408808 5605510511010 7474014014680 11211021022020 22422042044040