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422421324 = 223133896961
BaseRepresentation
bin11001001011011…
…010001101001100
31002102212020010020
4121023122031030
51331114440244
6105525542140
713316344023
oct3113321514
91072766106
10422421324
111a749a436
12b9574950
1369691b60
144015d8ba
1527141d19
hex192da34c

422421324 has 48 divisors (see below), whose sum is σ = 1064350560. Its totient is φ = 129623040.

The previous prime is 422421317. The next prime is 422421331. The reversal of 422421324 is 423124224.

It is an interprime number because it is at equal distance from previous prime (422421317) and next prime (422421331).

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

It is a junction number, because it is equal to n+sod(n) for n = 422421294 and 422421303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57204 + ... + 64164.

It is an arithmetic number, because the mean of its divisors is an integer number (22173970).

Almost surely, 2422421324 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 422421324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532175280).

422421324 is an abundant number, since it is smaller than the sum of its proper divisors (641929236).

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

422421324 is a wasteful number, since it uses less digits than its factorization.

422421324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7368 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 422421324 is about 20552.8908915510. The cubic root of 422421324 is about 750.3236079060.

Adding to 422421324 its reverse (423124224), we get a palindrome (845545548).

The spelling of 422421324 in words is "four hundred twenty-two million, four hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 389 778 1167 1556 2334 4668 5057 6961 10114 13922 15171 20228 20883 27844 30342 41766 60684 83532 90493 180986 271479 361972 542958 1085916 2707829 5415658 8123487 10831316 16246974 32493948 35201777 70403554 105605331 140807108 211210662 422421324