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22033830 = 23572131153
BaseRepresentation
bin101010000001…
…1010110100110
31112110102201210
41110003112212
521120040310
62104132250
7355166400
oct124032646
945412653
1022033830
111148a385
127467086
134746090
142cd7b70
151e03820
hex15035a6

22033830 has 96 divisors (see below), whose sum is σ = 66304224. Its totient is φ = 4644864.

The previous prime is 22033829. The next prime is 22033861. The reversal of 22033830 is 3833022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22033797 and 22033806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18534 + ... + 19686.

It is an arithmetic number, because the mean of its divisors is an integer number (690669).

Almost surely, 222033830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22033830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33152112).

22033830 is an abundant number, since it is smaller than the sum of its proper divisors (44270394).

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

22033830 is a wasteful number, since it uses less digits than its factorization.

22033830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 22033830 is about 4694.0206646328. The cubic root of 22033830 is about 280.3474852526.

Adding to 22033830 its reverse (3833022), we get a palindrome (25866852).

The spelling of 22033830 in words is "twenty-two million, thirty-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1153 1274 1365 1470 1911 2306 2730 3185 3459 3822 5765 6370 6918 8071 9555 11530 14989 16142 17295 19110 24213 29978 34590 40355 44967 48426 56497 74945 80710 89934 104923 112994 121065 149890 169491 209846 224835 242130 282485 314769 338982 449670 524615 564970 629538 734461 847455 1049230 1468922 1573845 1694910 2203383 3147690 3672305 4406766 7344610 11016915 22033830