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422929224 = 23325874017
BaseRepresentation
bin11001001101010…
…110001101001000
31002110211000211100
4121031112031020
51331232213344
6105544501400
713323560544
oct3115261510
91073730740
10422929224
111a7806a93
12b977a860
136980c0a3
1440252a24
15271e2569
hex19356348

422929224 has 24 divisors (see below), whose sum is σ = 1145433510. Its totient is φ = 140976384.

The previous prime is 422929219. The next prime is 422929229.

422929224 is a `hidden beast` number, since 422 + 9 + 2 + 9 + 224 = 666.

422929224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422929219) and next prime (422929229).

It can be written as a sum of positive squares in only one way, i.e., 305900100 + 117029124 = 17490^2 + 10818^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (422929229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2936937 + ... + 2937080.

Almost surely, 2422929224 is an apocalyptic number.

It is an amenable number.

422929224 is an abundant number, since it is smaller than the sum of its proper divisors (722504286).

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

422929224 is a wasteful number, since it uses less digits than its factorization.

422929224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874029 (or 5874022 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 422929224 is about 20565.2431057841. The cubic root of 422929224 is about 750.6242056789.

The spelling of 422929224 in words is "four hundred twenty-two million, nine hundred twenty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5874017 11748034 17622051 23496068 35244102 46992136 52866153 70488204 105732306 140976408 211464612 422929224