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422240040 = 23345194
BaseRepresentation
bin11001001010101…
…101111100101000
31002102112000110000
4121022231330220
51331043140130
6105522023000
713314660345
oct3112557450
91072460400
10422240040
111a7386212
12b94a7a60
136962a4a1
14401137cc
1527108260
hex192adf28

422240040 has 200 divisors, whose sum is σ = 1498039290. Its totient is φ = 106671168.

The previous prime is 422240023. The next prime is 422240111. The reversal of 422240040 is 40042224.

422240040 is a `hidden beast` number, since 4 + 222 + 400 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380016036 + 42224004 = 19494^2 + 6498^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 422239995 and 422240022.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 22223151 + ... + 22223169.

Almost surely, 2422240040 is an apocalyptic number.

422240040 is a gapful number since it is divisible by the number (40) 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 422240040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749019645).

422240040 is an abundant number, since it is smaller than the sum of its proper divisors (1075799250).

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

422240040 is an frugal number, since it uses more digits than its factorization.

422240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 422240040 is about 20548.4802357741. The cubic root of 422240040 is about 750.2162576375.

Adding to 422240040 its reverse (40042224), we get a palindrome (462282264).

The spelling of 422240040 in words is "four hundred twenty-two million, two hundred forty thousand, forty".