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22682484 = 22331161313
BaseRepresentation
bin101011010000…
…1101101110100
31120200101112000
41112201231310
521301314414
62130055300
7363540456
oct126415564
946611460
1022682484
1111892760
12771a530
1349123b6
1430262d6
151ed0b09
hex15a1b74

22682484 has 96 divisors (see below), whose sum is σ = 65412480. Its totient is φ = 6739200.

The previous prime is 22682477. The next prime is 22682497. The reversal of 22682484 is 48428622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 72312 + ... + 72624.

It is an arithmetic number, because the mean of its divisors is an integer number (681380).

Almost surely, 222682484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22682484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32706240).

22682484 is an abundant number, since it is smaller than the sum of its proper divisors (42729996).

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

22682484 is a wasteful number, since it uses less digits than its factorization.

22682484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22682484 is about 4762.6131482622. The cubic root of 22682484 is about 283.0719724381.

The spelling of 22682484 in words is "twenty-two million, six hundred eighty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 313 366 396 549 594 626 671 732 939 1098 1188 1252 1342 1647 1878 2013 2196 2684 2817 3294 3443 3756 4026 5634 6039 6588 6886 8052 8451 10329 11268 12078 13772 16902 18117 19093 20658 24156 30987 33804 36234 38186 41316 57279 61974 72468 76372 92961 114558 123948 171837 185922 210023 229116 343674 371844 420046 515511 630069 687348 840092 1031022 1260138 1890207 2062044 2520276 3780414 5670621 7560828 11341242 22682484