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10522422 = 23217137251
BaseRepresentation
bin101000001000…
…111100110110
3201210121001100
4220020330312
510143204142
61013310530
7155303421
oct50107466
921717040
1010522422
115a37719
123635446
1322455b1
14157c9b8
15dccb4c
hexa08f36

10522422 has 48 divisors (see below), whose sum is σ = 24412752. Its totient is φ = 3264000.

The previous prime is 10522411. The next prime is 10522427. The reversal of 10522422 is 22422501.

It is a super-2 number, since 2×105224222 = 221442729492168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10522395 and 10522404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522427) 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 23 ways as a sum of consecutive naturals, for example, 41797 + ... + 42047.

It is an arithmetic number, because the mean of its divisors is an integer number (508599).

Almost surely, 210522422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10522422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206376).

10522422 is an abundant number, since it is smaller than the sum of its proper divisors (13890330).

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

10522422 is a wasteful number, since it uses less digits than its factorization.

10522422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10522422 is about 3243.8282938528. The cubic root of 10522422 is about 219.1317153483.

Adding to 10522422 its reverse (22422501), we get a palindrome (32944923).

The spelling of 10522422 in words is "ten million, five hundred twenty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 251 274 306 411 502 753 822 1233 1506 2259 2329 2466 4267 4518 4658 6987 8534 12801 13974 20961 25602 34387 38403 41922 68774 76806 103161 206322 309483 584579 618966 1169158 1753737 3507474 5261211 10522422