Search a number
-
+
422220431232100 = 2252291110431311143
BaseRepresentation
bin110000000000000011101101…
…0110100100000110001100100
32001100221212201210211021202001
41200000013122310200301210
5420320124420343411400
64053553215520255044
7154635263614014544
oct14000073264406144
92040855653737661
10422220431232100
111125947521917a6
123b431194171484
13151792a6217c67
147639813ad3324
1533c2dc7e64a6a
hex18001dad20c64

422220431232100 has 72 divisors (see below), whose sum is σ = 947821329927360. Its totient is φ = 163062849559680.

The previous prime is 422220431232049. The next prime is 422220431232121. The reversal of 422220431232100 is 1232134022224.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 321369129 + ... + 322680271.

It is an arithmetic number, because the mean of its divisors is an integer number (13164185137880).

Almost surely, 2422220431232100 is an apocalyptic number.

It is an amenable number.

422220431232100 is an abundant number, since it is smaller than the sum of its proper divisors (525600898695260).

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

422220431232100 is a wasteful number, since it uses less digits than its factorization.

422220431232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422229 (or 1422222 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 422220431232100 its reverse (1232134022224), we get a palindrome (423452565254324).

The spelling of 422220431232100 in words is "four hundred twenty-two trillion, two hundred twenty billion, four hundred thirty-one million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 111043 222086 444172 555215 1110430 1311143 2220860 2622286 2776075 3220247 5244572 5552150 6440494 6555715 11104300 12880988 13111430 16101235 26222860 32202470 32778575 38023147 64404940 65557150 76046294 80506175 131114300 152092588 161012350 190115735 322024700 380231470 760462940 950578675 1901157350 3802314700 145593252149 291186504298 582373008596 727966260745 1455932521490 2911865042980 3639831303725 4222204312321 7279662607450 8444408624642 14559325214900 16888817249284 21111021561605 42222043123210 84444086246420 105555107808025 211110215616050 422220431232100