Search a number
-
+
22439214 = 2337232989
BaseRepresentation
bin101010110011…
…0010100101110
31120020000211000
41111212110232
521221023324
62120541130
7361505310
oct125462456
946200730
1022439214
1111736a06
1276217a6
134858755
142da17b0
151e839c9
hex156652e

22439214 has 128 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5854464.

The previous prime is 22439189. The next prime is 22439227. The reversal of 22439214 is 41293422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 252082 + ... + 252170.

It is an arithmetic number, because the mean of its divisors is an integer number (486000).

Almost surely, 222439214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22439214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

22439214 is an abundant number, since it is smaller than the sum of its proper divisors (39768786).

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

22439214 is a wasteful number, since it uses less digits than its factorization.

22439214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 22439214 is about 4737.0047498393. The cubic root of 22439214 is about 282.0563490837.

The spelling of 22439214 in words is "twenty-two million, four hundred thirty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 29 42 46 54 58 63 69 87 89 126 138 161 174 178 189 203 207 261 267 322 378 406 414 483 522 534 609 621 623 667 783 801 966 1218 1242 1246 1334 1449 1566 1602 1827 1869 2001 2047 2403 2581 2898 3654 3738 4002 4094 4347 4669 4806 5162 5481 5607 6003 6141 7743 8694 9338 10962 11214 12006 12282 14007 14329 15486 16821 18009 18067 18423 23229 28014 28658 33642 36018 36134 36846 42021 42987 46458 54201 55269 59363 69687 84042 85974 108402 110538 118726 126063 128961 139374 162603 178089 252126 257922 325206 356178 386883 415541 487809 534267 773766 831082 975618 1068534 1246623 1602801 2493246 3205602 3739869 7479738 11219607 22439214