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22705380 = 22335192213
BaseRepresentation
bin101011010011…
…1010011100100
31120201112221000
41112213103210
521303033010
62130353300
7363664305
oct126472344
946645830
1022705380
11118a8985
12772b830
13491c949
1430307ac
151ed77c0
hex15a74e4

22705380 has 96 divisors (see below), whose sum is σ = 74390400. Its totient is φ = 5733504.

The previous prime is 22705379. The next prime is 22705391. The reversal of 22705380 is 8350722.

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

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, 9154 + ... + 11366.

It is an arithmetic number, because the mean of its divisors is an integer number (774900).

Almost surely, 222705380 is an apocalyptic number.

22705380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22705380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37195200).

22705380 is an abundant number, since it is smaller than the sum of its proper divisors (51685020).

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

22705380 is a wasteful number, since it uses less digits than its factorization.

22705380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 22705380 is about 4765.0162644004. The cubic root of 22705380 is about 283.1671859423.

The spelling of 22705380 in words is "twenty-two million, seven hundred five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2213 2565 3420 4426 5130 6639 8852 10260 11065 13278 19917 22130 26556 33195 39834 42047 44260 59751 66390 79668 84094 99585 119502 126141 132780 168188 199170 210235 239004 252282 298755 378423 398340 420470 504564 597510 630705 756846 840940 1135269 1195020 1261410 1513692 1892115 2270538 2522820 3784230 4541076 5676345 7568460 11352690 22705380