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422131224 = 23337617793
BaseRepresentation
bin11001001010010…
…011011000011000
31002102022111011210
4121022103120120
51331031144344
6105515423120
713314025164
oct3112233030
91072274153
10422131224
111a7311489
12b9454aa0
13695bcab8
14400c5ca4
15270d5db9
hex19293618

422131224 has 64 divisors (see below), whose sum is σ = 1101759840. Its totient is φ = 134645760.

The previous prime is 422131223. The next prime is 422131231.

422131224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 422131224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422131223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50272 + ... + 58064.

Almost surely, 2422131224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550879920).

422131224 is an abundant number, since it is smaller than the sum of its proper divisors (679628616).

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

422131224 is a wasteful number, since it uses less digits than its factorization.

422131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7896 counting only the distinct ones).

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

The square root of 422131224 is about 20545.8322781045. The cubic root of 422131224 is about 750.1518057157.

The spelling of 422131224 in words is "four hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 122 148 183 222 244 296 366 444 488 732 888 1464 2257 4514 6771 7793 9028 13542 15586 18056 23379 27084 31172 46758 54168 62344 93516 187032 288341 475373 576682 865023 950746 1153364 1426119 1730046 1901492 2306728 2852238 3460092 3802984 5704476 6920184 11408952 17588801 35177602 52766403 70355204 105532806 140710408 211065612 422131224