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22441314 = 2372372063
BaseRepresentation
bin101010110011…
…0110101100010
31120020010200210
41111212311202
521221110224
62120554550
7361514400
oct125466542
946203623
1022441314
1111738545
127622a56
1348596ac
142da2470
151e84429
hex1566d62

22441314 has 48 divisors (see below), whose sum is σ = 53647488. Its totient is φ = 6235488.

The previous prime is 22441297. The next prime is 22441333. The reversal of 22441314 is 41314422.

It is a super-2 number, since 2×224413142 = 1007225148093192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9847 + ... + 11909.

It is an arithmetic number, because the mean of its divisors is an integer number (1117656).

Almost surely, 222441314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22441314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26823744).

22441314 is an abundant number, since it is smaller than the sum of its proper divisors (31206174).

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

22441314 is a wasteful number, since it uses less digits than its factorization.

22441314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2112 counting only the distinct ones).

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

The square root of 22441314 is about 4737.2264037092. The cubic root of 22441314 is about 282.0651476666.

Adding to 22441314 its reverse (41314422), we get a palindrome (63755736).

The spelling of 22441314 in words is "twenty-two million, four hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 2063 3626 4126 5439 6189 10878 12378 14441 28882 43323 76331 86646 101087 152662 202174 228993 303261 457986 534317 606522 1068634 1602951 3205902 3740219 7480438 11220657 22441314