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22231314 = 2337103571
BaseRepresentation
bin101010011001…
…1100100010010
31112211110122000
41110303210102
521142400224
62112254430
7356651220
oct124634422
945743560
1022231314
1111604796
127541416
1347b4c31
142d49b10
151e420c9
hex1533912

22231314 has 64 divisors (see below), whose sum is σ = 57108480. Its totient is φ = 6279120.

The previous prime is 22231241. The next prime is 22231331. The reversal of 22231314 is 41313222.

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

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38649 + ... + 39219.

It is an arithmetic number, because the mean of its divisors is an integer number (892320).

Almost surely, 222231314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22231314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28554240).

22231314 is an abundant number, since it is smaller than the sum of its proper divisors (34877166).

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

22231314 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (22231313) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (692).

22231314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22231314 is about 4715.0094379545. The cubic root of 22231314 is about 281.1825580514.

Adding to 22231314 its reverse (41313222), we get a palindrome (63544536).

The spelling of 22231314 in words is "twenty-two million, two hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 309 378 571 618 721 927 1142 1442 1713 1854 2163 2781 3426 3997 4326 5139 5562 6489 7994 10278 11991 12978 15417 19467 23982 30834 35973 38934 58813 71946 107919 117626 176439 215838 352878 411691 529317 823382 1058634 1235073 1587951 2470146 3175902 3705219 7410438 11115657 22231314