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22142240 = 255138389
BaseRepresentation
bin101010001110…
…1110100100000
31112122221102222
41110131310200
521132022430
62110330212
7356130431
oct124356440
945587388
1022142240
111155387a
1274b9968
134783523
142d25488
151e259e5
hex151dd20

22142240 has 24 divisors (see below), whose sum is σ = 52311420. Its totient is φ = 8856832.

The previous prime is 22142231. The next prime is 22142257. The reversal of 22142240 is 4224122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19465744 + 2676496 = 4412^2 + 1636^2 .

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 3 ways as a sum of consecutive naturals, for example, 69035 + ... + 69354.

Almost surely, 222142240 is an apocalyptic number.

22142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142240 is an abundant number, since it is smaller than the sum of its proper divisors (30169180).

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

22142240 is a wasteful number, since it uses less digits than its factorization.

22142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138404 (or 138396 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 22142240 is about 4705.5541650267. The cubic root of 22142240 is about 280.8065181941.

Adding to 22142240 its reverse (4224122), we get a palindrome (26366362).

The spelling of 22142240 in words is "twenty-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 138389 276778 553556 691945 1107112 1383890 2214224 2767780 4428448 5535560 11071120 22142240