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22755740 = 22572337191
BaseRepresentation
bin101011011001…
…1100110011100
31120211010000012
41112303212130
521311140430
62131422352
7364264160
oct126634634
946733005
1022755740
11119327a7
1277549b8
134939847
143044ca0
151ee7695
hex15b399c

22755740 has 96 divisors (see below), whose sum is σ = 58834944. Its totient is φ = 7223040.

The previous prime is 22755739. The next prime is 22755743. The reversal of 22755740 is 4755722.

It is a junction number, because it is equal to n+sod(n) for n = 22755697 and 22755706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22755743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119045 + ... + 119235.

It is an arithmetic number, because the mean of its divisors is an integer number (612864).

Almost surely, 222755740 is an apocalyptic number.

22755740 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 22755740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417472).

22755740 is an abundant number, since it is smaller than the sum of its proper divisors (36079204).

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

22755740 is a wasteful number, since it uses less digits than its factorization.

22755740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 22755740 is about 4770.2976846314. The cubic root of 22755740 is about 283.3763840774.

The spelling of 22755740 in words is "twenty-two million, seven hundred fifty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 37 46 70 74 92 115 140 148 161 185 191 230 259 322 370 382 460 518 644 740 764 805 851 955 1036 1295 1337 1610 1702 1910 2590 2674 3220 3404 3820 4255 4393 5180 5348 5957 6685 7067 8510 8786 11914 13370 14134 17020 17572 21965 23828 26740 28268 29785 30751 35335 43930 49469 59570 61502 70670 87860 98938 119140 123004 141340 153755 162541 197876 247345 307510 325082 494690 615020 650164 812705 989380 1137787 1625410 2275574 3250820 4551148 5688935 11377870 22755740