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422193308940 = 223351324626269
BaseRepresentation
bin1100010010011001010…
…11101010010100001100
31111100202101012021111000
412021030223222110030
523404122441341230
6521541455500300
742334225625424
oct6111453522414
91440671167430
10422193308940
11153062130937
12699a7827690
1330a74543c00
14166118a3484
15aeaeeadb60
hex624caea50c

422193308940 has 144 divisors (see below), whose sum is σ = 1422300448800. Its totient is φ = 103924484352.

The previous prime is 422193308921. The next prime is 422193308941. The reversal of 422193308940 is 49803391224.

422193308940 is a `hidden beast` number, since 4 + 221 + 9 + 330 + 8 + 94 + 0 = 666.

It is a super-2 number, since 2×4221933089402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (422193308941) 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 47 ways as a sum of consecutive naturals, for example, 2221875 + ... + 2404394.

It is an arithmetic number, because the mean of its divisors is an integer number (9877086450).

Almost surely, 2422193308940 is an apocalyptic number.

It is an amenable number.

422193308940 is an abundant number, since it is smaller than the sum of its proper divisors (1000107139860).

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

422193308940 is a wasteful number, since it uses less digits than its factorization.

422193308940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626313 (or 4626292 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 422193308940 in words is "four hundred twenty-two billion, one hundred ninety-three million, three hundred eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 4626269 9252538 13878807 18505076 23131345 27757614 41636421 46262690 55515228 60141497 69394035 83272842 92525380 120282994 124909263 138788070 166545684 180424491 208182105 240565988 249818526 277576140 300707485 360848982 416364210 499637052 541273473 601414970 624546315 721697964 781839461 832728420 902122455 1082546946 1202829940 1249092630 1563678922 1623820419 1804244910 2165093892 2345518383 2498185260 2706367365 3127357844 3247640838 3608489820 3909197305 4691036766 5412734730 6495281676 7036555149 7818394610 8119102095 9382073532 10825469460 11727591915 14073110298 15636789220 16238204190 21109665447 23455183830 28146220596 32476408380 35182775745 42219330894 46910367660 70365551490 84438661788 105548327235 140731102980 211096654470 422193308940