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422322520 = 23561732371
BaseRepresentation
bin11001001011000…
…010000101011000
31002102200012120211
4121023002011120
51331103310040
6105523500504
713315452664
oct3113020530
91072605524
10422322520
111a7432184
12b9527734
1369658ba9
14401358a4
15271228ea
hex192c2158

422322520 has 64 divisors (see below), whose sum is σ = 979446240. Its totient is φ = 163814400.

The previous prime is 422322503. The next prime is 422322521. The reversal of 422322520 is 25223224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 422322491 and 422322500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422322521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176935 + ... + 179305.

Almost surely, 2422322520 is an apocalyptic number.

422322520 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 422322520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489723120).

422322520 is an abundant number, since it is smaller than the sum of its proper divisors (557123720).

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

422322520 is a wasteful number, since it uses less digits than its factorization.

422322520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 422322520 is about 20550.4870988500. The cubic root of 422322520 is about 750.2651033196.

Adding to 422322520 its reverse (25223224), we get a palindrome (447545744).

The spelling of 422322520 in words is "four hundred twenty-two million, three hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 488 584 610 730 1220 1460 2371 2440 2920 4453 4742 8906 9484 11855 17812 18968 22265 23710 35624 44530 47420 89060 94840 144631 173083 178120 289262 346166 578524 692332 723155 865415 1157048 1384664 1446310 1730830 2892620 3461660 5785240 6923320 10558063 21116126 42232252 52790315 84464504 105580630 211161260 422322520