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422242224 = 24337237749
BaseRepresentation
bin11001001010101…
…110011110110000
31002102112010102220
4121022232132300
51331043222344
6105522041040
713314666615
oct3112563660
91072463386
10422242224
111a7387918
12b94a9180
136962b491
144011450c
1527108c19
hex192ae7b0

422242224 has 40 divisors (see below), whose sum is σ = 1120278000. Its totient is φ = 136942848.

The previous prime is 422242201. The next prime is 422242229.

422242224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 422242194 and 422242203.

It is not an unprimeable number, because it can be changed into a prime (422242229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117099 + ... + 120650.

It is an arithmetic number, because the mean of its divisors is an integer number (28006950).

Almost surely, 2422242224 is an apocalyptic number.

It is an amenable number.

422242224 is an abundant number, since it is smaller than the sum of its proper divisors (698035776).

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

422242224 is a wasteful number, since it uses less digits than its factorization.

422242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237797 (or 237791 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 422242224 is about 20548.5333783217. The cubic root of 422242224 is about 750.2175511115.

The spelling of 422242224 in words is "four hundred twenty-two million, two hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 237749 475498 713247 950996 1426494 1901992 2852988 3803984 5705976 8796713 11411952 17593426 26390139 35186852 52780278 70373704 105560556 140747408 211121112 422242224