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42221235252 = 22372831776091
BaseRepresentation
bin100111010100100101…
…001110110000110100
311000222110200222102210
4213110211032300310
51142432114012002
631221323333420
73023165402220
oct472445166064
9130873628383
1042221235252
11169a6871a59
128223981270
133c9b30a651
1420875b5780
1511719ea96c
hex9d494ec34

42221235252 has 48 divisors (see below), whose sum is σ = 112987868672. Its totient is φ = 12020577120.

The previous prime is 42221235211. The next prime is 42221235257. The reversal of 42221235252 is 25253212224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221235257) 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 15 ways as a sum of consecutive naturals, for example, 864274 + ... + 911817.

Almost surely, 242221235252 is an apocalyptic number.

42221235252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42221235252 is an abundant number, since it is smaller than the sum of its proper divisors (70766633420).

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

42221235252 is a wasteful number, since it uses less digits than its factorization.

42221235252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776388 (or 1776386 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

Adding to 42221235252 its reverse (25253212224), we get a palindrome (67474447476).

The spelling of 42221235252 in words is "forty-two billion, two hundred twenty-one million, two hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 283 566 849 1132 1698 1981 3396 3962 5943 7924 11886 23772 1776091 3552182 5328273 7104364 10656546 12432637 21313092 24865274 37297911 49730548 74595822 149191644 502633753 1005267506 1507901259 2010535012 3015802518 3518436271 6031605036 7036872542 10555308813 14073745084 21110617626 42221235252