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422233344 = 28331337127
BaseRepresentation
bin11001001010101…
…100010100000000
31002102111200021000
4121022230110000
51331042431334
6105521532000
713314632001
oct3112542400
91072450230
10422233344
111a7381185
12b94a4000
1369627420
14401111a8
1527106299
hex192ac500

422233344 has 288 divisors, whose sum is σ = 1391882240. Its totient is φ = 125411328.

The previous prime is 422233283. The next prime is 422233411. The reversal of 422233344 is 443332224.

422233344 is a `hidden beast` number, since 422 + 233 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4222333443 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 3324609 + ... + 3324735.

Almost surely, 2422233344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695941120).

422233344 is an abundant number, since it is smaller than the sum of its proper divisors (969648896).

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

422233344 is a wasteful number, since it uses less digits than its factorization.

422233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 422233344 is about 20548.3173033706. The cubic root of 422233344 is about 750.2122919039.

Adding to 422233344 its reverse (443332224), we get a palindrome (865565568).

The spelling of 422233344 in words is "four hundred twenty-two million, two hundred thirty-three thousand, three hundred forty-four".