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22680320 = 285132947
BaseRepresentation
bin101011010000…
…1001100000000
31120200021112212
41112201030000
521301232240
62130041252
7363531245
oct126411400
946607485
1022680320
1111891073
127719228
134911410
1430255cc
151ed0165
hex15a1300

22680320 has 144 divisors (see below), whose sum is σ = 61810560. Its totient is φ = 7913472.

The previous prime is 22680299. The next prime is 22680341. The reversal of 22680320 is 2308622.

It is an interprime number because it is at equal distance from previous prime (22680299) and next prime (22680341).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482537 + ... + 482583.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 222680320 is an apocalyptic number.

22680320 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 22680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905280).

22680320 is an abundant number, since it is smaller than the sum of its proper divisors (39130240).

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

22680320 is a wasteful number, since it uses less digits than its factorization.

22680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 22680320 is about 4762.3859566398. The cubic root of 22680320 is about 283.0629700844.

Adding to 22680320 its reverse (2308622), we get a palindrome (24988942).

The spelling of 22680320 in words is "twenty-two million, six hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 47 52 58 64 65 80 94 104 116 128 130 145 160 188 208 232 235 256 260 290 320 376 377 416 464 470 520 580 611 640 752 754 832 928 940 1040 1160 1222 1280 1363 1504 1508 1664 1856 1880 1885 2080 2320 2444 2726 3008 3016 3055 3328 3712 3760 3770 4160 4640 4888 5452 6016 6032 6110 6815 7424 7520 7540 8320 9280 9776 10904 12032 12064 12220 13630 15040 15080 16640 17719 18560 19552 21808 24128 24440 27260 30080 30160 35438 37120 39104 43616 48256 48880 54520 60160 60320 70876 78208 87232 88595 96512 97760 109040 120640 141752 156416 174464 177190 195520 218080 241280 283504 348928 354380 391040 436160 482560 567008 708760 782080 872320 1134016 1417520 1744640 2268032 2835040 4536064 5670080 11340160 22680320