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22314390 = 2357591801
BaseRepresentation
bin101010100011…
…1110110010110
31112222200120220
41111013312112
521203030030
62114135210
7360445350
oct125076626
945880526
1022314390
111166114a
127581506
1348139a7
142d6c0d0
151e5ba10
hex1547d96

22314390 has 64 divisors (see below), whose sum is σ = 62277120. Its totient is φ = 5011200.

The previous prime is 22314361. The next prime is 22314401. The reversal of 22314390 is 9341322.

It is a super-3 number, since 3×223143903 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22314390.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11490 + ... + 13290.

It is an arithmetic number, because the mean of its divisors is an integer number (973080).

Almost surely, 222314390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31138560).

22314390 is an abundant number, since it is smaller than the sum of its proper divisors (39962730).

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

22314390 is a wasteful number, since it uses less digits than its factorization.

22314390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 22314390 is about 4723.8109615013. The cubic root of 22314390 is about 281.5323722087.

The spelling of 22314390 in words is "twenty-two million, three hundred fourteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 1801 2065 2478 3602 4130 5403 6195 9005 10806 12390 12607 18010 25214 27015 37821 54030 63035 75642 106259 126070 189105 212518 318777 378210 531295 637554 743813 1062590 1487626 1593885 2231439 3187770 3719065 4462878 7438130 11157195 22314390