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22133790 = 233573239
BaseRepresentation
bin101010001101…
…1110000011110
31112122111212000
41110123300132
521131240130
62110223130
7356064000
oct124336036
945574760
1022133790
1111548498
1274b4aa6
13477c723
142d22370
151e23260
hex151bc1e

22133790 has 128 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 5037984.

The previous prime is 22133747. The next prime is 22133821. The reversal of 22133790 is 9733122.

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

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 92491 + ... + 92729.

It is an arithmetic number, because the mean of its divisors is an integer number (540000).

Almost surely, 222133790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560000).

22133790 is an abundant number, since it is smaller than the sum of its proper divisors (46986210).

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

22133790 is a wasteful number, since it uses less digits than its factorization.

22133790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 22133790 is about 4704.6562042300. The cubic root of 22133790 is about 280.7707928567.

The spelling of 22133790 in words is "twenty-two million, one hundred thirty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 239 245 270 294 315 343 378 441 478 490 630 686 717 735 882 945 1029 1195 1323 1434 1470 1673 1715 1890 2058 2151 2205 2390 2646 3087 3346 3430 3585 4302 4410 5019 5145 6174 6453 6615 7170 8365 9261 10038 10290 10755 11711 12906 13230 15057 15435 16730 18522 21510 23422 25095 30114 30870 32265 35133 45171 46305 50190 58555 64530 70266 75285 81977 90342 92610 105399 117110 150570 163954 175665 210798 225855 245931 316197 351330 409885 451710 491862 526995 632394 737793 819770 1053990 1229655 1475586 1580985 2213379 2459310 3161970 3688965 4426758 7377930 11066895 22133790