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22330320 = 2435195983
BaseRepresentation
bin101010100101…
…1101111010000
31120000111102220
41111023233100
521204032240
62114341040
7360542655
oct125135720
946014386
1022330320
1111672111
12758a780
13481b00c
142d73c2c
151e615d0
hex154bbd0

22330320 has 160 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 5478912.

The previous prime is 22330313. The next prime is 22330327. The reversal of 22330320 is 2303322.

It is an interprime number because it is at equal distance from previous prime (22330313) and next prime (22330327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22330320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22330327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 268999 + ... + 269081.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 222330320 is an apocalyptic number.

22330320 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 22330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

22330320 is an abundant number, since it is smaller than the sum of its proper divisors (52664880).

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

22330320 is a wasteful number, since it uses less digits than its factorization.

22330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 22330320 is about 4725.4967992794. The cubic root of 22330320 is about 281.5993505710.

Adding to 22330320 its reverse (2303322), we get a palindrome (24633642).

The spelling of 22330320 in words is "twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 59 60 76 80 83 95 114 118 120 152 166 177 190 228 236 240 249 285 295 304 332 354 380 415 456 472 498 570 590 664 708 760 830 885 912 944 996 1121 1140 1180 1245 1328 1416 1520 1577 1660 1770 1992 2242 2280 2360 2490 2832 3154 3320 3363 3540 3984 4484 4560 4720 4731 4897 4980 5605 6308 6640 6726 7080 7885 8968 9462 9794 9960 11210 12616 13452 14160 14691 15770 16815 17936 18924 19588 19920 22420 23655 24485 25232 26904 29382 31540 33630 37848 39176 44840 47310 48970 53808 58764 63080 67260 73455 75696 78352 89680 93043 94620 97940 117528 126160 134520 146910 186086 189240 195880 235056 269040 279129 293820 372172 378480 391760 465215 558258 587640 744344 930430 1116516 1175280 1395645 1488688 1860860 2233032 2791290 3721720 4466064 5582580 7443440 11165160 22330320