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223113424420040 = 235711611187531533
BaseRepresentation
bin110010101110101110100100…
…011010000011110011001000
31002020222102202011102101020012
4302232232210122003303020
5213220442243122420130
62110304520414051052
764665261435300050
oct6256564432036310
91066872664371205
10223113424420040
11650aa965591680
1221034a624a9a88
139765675b9574b
143d14a66a84560
151abda5b1de995
hexcaeba4683cc8

223113424420040 has 128 divisors (see below), whose sum is σ = 636136892133120. Its totient is φ = 68401816243200.

The previous prime is 223113424420037. The next prime is 223113424420109. The reversal of 223113424420040 is 40024424311322.

It is a happy number.

It is a super-3 number, since 3×2231134244200403 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223113424419979 and 223113424420006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 593577887 + ... + 593953646.

It is an arithmetic number, because the mean of its divisors is an integer number (4969819469790).

Almost surely, 2223113424420040 is an apocalyptic number.

223113424420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223113424420040 is an abundant number, since it is smaller than the sum of its proper divisors (413023467713080).

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

223113424420040 is a wasteful number, since it uses less digits than its factorization.

223113424420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187531623 (or 1187531619 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 223113424420040 its reverse (40024424311322), we get a palindrome (263137848731362).

The spelling of 223113424420040 in words is "two hundred twenty-three trillion, one hundred thirteen billion, four hundred twenty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 61 70 77 88 110 122 140 154 220 244 280 305 308 385 427 440 488 610 616 671 770 854 1220 1342 1540 1708 2135 2440 2684 3080 3355 3416 4270 4697 5368 6710 8540 9394 13420 17080 18788 23485 26840 37576 46970 93940 187880 1187531533 2375063066 4750126132 5937657665 8312720731 9500252264 11875315330 13062846863 16625441462 23750630660 26125693726 33250882924 41563603655 47501261320 52251387452 65314234315 66501765848 72439423513 83127207310 91439928041 104502774904 130628468630 144878847026 166254414620 182879856082 261256937260 289757694052 332508829240 362197117565 365759712164 457199640205 507075964591 522513874520 579515388104 724394235130 731519424328 796833658643 914399280410 1014151929182 1448788470260 1593667317286 1828798560820 2028303858364 2535379822955 2897576940520 3187334634572 3657597121640 3984168293215 4056607716728 5070759645910 5577835610501 6374669269144 7968336586430 10141519291820 11155671221002 15936673172860 20283038583640 22311342442004 27889178052505 31873346345720 44622684884008 55778356105010 111556712210020 223113424420040