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22204140 = 22357291823
BaseRepresentation
bin101010010110…
…0111011101100
31112210002100120
41110230323230
521141013030
62111524540
7356506050
oct124547354
945702316
1022204140
1111596332
127529750
1347a575a
142d3dc60
151e39010
hex152ceec

22204140 has 96 divisors (see below), whose sum is σ = 73543680. Its totient is φ = 4897536.

The previous prime is 22204139. The next prime is 22204151. The reversal of 22204140 is 4140222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11269 + ... + 13091.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 222204140 is an apocalyptic number.

22204140 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 22204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771840).

22204140 is an abundant number, since it is smaller than the sum of its proper divisors (51339540).

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

22204140 is a wasteful number, since it uses less digits than its factorization.

22204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22204140 is about 4712.1269083080. The cubic root of 22204140 is about 281.0679453904.

Adding to 22204140 its reverse (4140222), we get a palindrome (26344362).

The spelling of 22204140 in words is "twenty-two million, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 1823 2030 2436 3045 3646 4060 5469 6090 7292 9115 10938 12180 12761 18230 21876 25522 27345 36460 38283 51044 52867 54690 63805 76566 105734 109380 127610 153132 158601 191415 211468 255220 264335 317202 370069 382830 528670 634404 740138 765660 793005 1057340 1110207 1480276 1586010 1850345 2220414 3172020 3700690 4440828 5551035 7401380 11102070 22204140