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22668030 = 23257113271
BaseRepresentation
bin101011001111…
…0001011111110
31120122122200200
41112132023332
521300334110
62125504330
7363450360
oct126361376
946578620
1022668030
1111882910
1277120a6
134908948
143020d30
151ecb6c0
hex159e2fe

22668030 has 96 divisors (see below), whose sum is σ = 73502208. Its totient is φ = 4708800.

The previous prime is 22668011. The next prime is 22668031. The reversal of 22668030 is 3086622.

It is a junction number, because it is equal to n+sod(n) for n = 22667985 and 22668003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22668031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5295 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (765648).

Almost surely, 222668030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22668030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36751104).

22668030 is an abundant number, since it is smaller than the sum of its proper divisors (50834178).

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

22668030 is a wasteful number, since it uses less digits than its factorization.

22668030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22668030 is about 4761.0954621809. The cubic root of 22668030 is about 283.0118321748.

It can be divided in two parts, 2266 and 8030, that added together give a triangular number (10296 = T143).

The spelling of 22668030 in words is "twenty-two million, six hundred sixty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3271 3465 6542 6930 9813 16355 19626 22897 29439 32710 35981 45794 49065 58878 68691 71962 98130 107943 114485 137382 147195 179905 206073 215886 228970 251867 294390 323829 343455 359810 412146 503734 539715 647658 686910 755601 1030365 1079430 1259335 1511202 1619145 2060730 2266803 2518670 3238290 3778005 4533606 7556010 11334015 22668030