Search a number
-
+
22730940 = 22325293431
BaseRepresentation
bin101011010110…
…1100010111100
31120202211222200
41112231202330
521304342230
62131111500
7364131651
oct126554274
946684880
1022730940
1111916101
127742590
13492b47b
143039c28
151ee0160
hex15ad8bc

22730940 has 72 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 6026880.

The previous prime is 22730927. The next prime is 22730941. The reversal of 22730940 is 4903722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52525 + ... + 52955.

It is an arithmetic number, because the mean of its divisors is an integer number (963144).

Almost surely, 222730940 is an apocalyptic number.

22730940 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 22730940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

22730940 is an abundant number, since it is smaller than the sum of its proper divisors (46615428).

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

22730940 is a wasteful number, since it uses less digits than its factorization.

22730940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22730940 is about 4767.6975575219. The cubic root of 22730940 is about 283.2734021646.

The spelling of 22730940 in words is "twenty-two million, seven hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 431 586 862 879 1172 1293 1465 1724 1758 2155 2586 2637 2930 3516 3879 4310 4395 5172 5274 5860 6465 7758 8620 8790 10548 12930 13185 15516 17580 19395 25860 26370 38790 52740 77580 126283 252566 378849 505132 631415 757698 1136547 1262830 1515396 1894245 2273094 2525660 3788490 4546188 5682735 7576980 11365470 22730940