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422112040211224 = 231122331360573157
BaseRepresentation
bin101111111111010001001111…
…0001101100101001100011000
32001100120111221211222220210101
41133332202132031211030120
5420311340424243224344
64053431332204425144
7154624405600362406
oct13776423615451430
92040514854886711
10422112040211224
11112552790296500
123b4141842481b4
131516bcc1178b0c
1476344904a0476
1533c01822419d4
hex17fe89e365318

422112040211224 has 96 divisors (see below), whose sum is σ = 910676240782560. Its totient is φ = 182940622824960.

The previous prime is 422112040211221. The next prime is 422112040211227.

422112040211224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422112040211221) and next prime (422112040211227).

It is a junction number, because it is equal to n+sod(n) for n = 422112040211192 and 422112040211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422112040211221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23317947 + ... + 37255210.

It is an arithmetic number, because the mean of its divisors is an integer number (9486210841485).

Almost surely, 2422112040211224 is an apocalyptic number.

422112040211224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422112040211224 is an abundant number, since it is smaller than the sum of its proper divisors (488564200571336).

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

422112040211224 is a wasteful number, since it uses less digits than its factorization.

422112040211224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60573521 (or 60573506 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 422112040211224 in words is "four hundred twenty-two trillion, one hundred twelve billion, forty million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 313 484 506 626 968 1012 1252 2024 2504 2783 3443 5566 6886 7199 11132 13772 14398 22264 27544 28796 37873 57592 75746 79189 151492 158378 302984 316756 633512 871079 1742158 3484316 6968632 60573157 121146314 242292628 484585256 666304727 1332609454 1393182611 2665218908 2786365222 5330437816 5572730444 7329351997 11145460888 14658703994 15325008721 18959398141 29317407988 30650017442 37918796282 58634815976 61300034884 75837592564 122600069768 151675185128 168575095931 208553379551 337150191862 417106759102 436066157243 674300383724 834213518204 872132314486 1348600767448 1668427036408 1744264628972 2294087175061 3488529257944 4588174350122 4796727729673 9176348700244 9593455459346 18352697400488 19186910918692 38373821837384 52764005026403 105528010052806 211056020105612 422112040211224