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22235040 = 253355147
BaseRepresentation
bin101010011010…
…0011110100000
31112211122202000
41110310132200
521143010130
62112324000
7356665122
oct124643640
945748660
1022235040
1111607573
127543600
1347b6839
142d4b212
151e43260
hex15347a0

22235040 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 5928192.

The previous prime is 22235021. The next prime is 22235041. The reversal of 22235040 is 4053222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22235041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1747 + ... + 6893.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 222235040 is an apocalyptic number.

22235040 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 22235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

22235040 is an abundant number, since it is smaller than the sum of its proper divisors (55602720).

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

22235040 is a wasteful number, since it uses less digits than its factorization.

22235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5171 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22235040 is about 4715.4045425605. The cubic root of 22235040 is about 281.1982660400.

Adding to 22235040 its reverse (4053222), we get a palindrome (26288262).

The spelling of 22235040 in words is "twenty-two million, two hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5147 10294 15441 20588 25735 30882 41176 46323 51470 61764 77205 82352 92646 102940 123528 138969 154410 164704 185292 205880 231615 247056 277938 308820 370584 411760 463230 494112 555876 617640 694845 741168 823520 926460 1111752 1235280 1389690 1482336 1852920 2223504 2470560 2779380 3705840 4447008 5558760 7411680 11117520 22235040