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422201232120 = 2335191723107473
BaseRepresentation
bin1100010010011010010…
…01111000101011111000
31111100202221002211001010
412021031021320223320
523404132003411440
6521542341353520
742334353155163
oct6111511705370
91440687084033
10422201232120
11153066652718
12699aa4088a0
1330a76089395
1416612966ada
15aeb0a26580
hex624d278af8

422201232120 has 128 divisors (see below), whose sum is σ = 1334053267200. Its totient is φ = 106598467584.

The previous prime is 422201232097. The next prime is 422201232151. The reversal of 422201232120 is 21232102224.

It is a super-2 number, since 2×4222012321202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3874704 + ... + 3982176.

It is an arithmetic number, because the mean of its divisors is an integer number (10422291150).

Almost surely, 2422201232120 is an apocalyptic number.

422201232120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422201232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667026633600).

422201232120 is an abundant number, since it is smaller than the sum of its proper divisors (911852035080).

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

422201232120 is a wasteful number, since it uses less digits than its factorization.

422201232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109229 (or 109225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 422201232120 its reverse (21232102224), we get a palindrome (443433334344).

The spelling of 422201232120 in words is "four hundred twenty-two billion, two hundred one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1723 2280 3446 5169 6892 8615 10338 13784 17230 20676 25845 32737 34460 41352 51690 65474 68920 98211 103380 107473 130948 163685 196422 206760 214946 261896 322419 327370 392844 429892 491055 537365 644838 654740 785688 859784 982110 1074730 1289676 1309480 1612095 1964220 2041987 2149460 2579352 3224190 3928440 4083974 4298920 6125961 6448380 8167948 10209935 12251922 12896760 16335896 20419870 24503844 30629805 40839740 49007688 61259610 81679480 122519220 185175979 245038440 370351958 555527937 740703916 925879895 1111055874 1481407832 1851759790 2222111748 2777639685 3518343601 3703519580 4444223496 5555279370 7036687202 7407039160 10555030803 11110558740 14073374404 17591718005 21110061606 22221117480 28146748808 35183436010 42220123212 52775154015 70366872020 84440246424 105550308030 140733744040 211100616060 422201232120