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422030224 = 24711509673
BaseRepresentation
bin11001001001111…
…010101110010000
31002102010100122001
4121021322232100
51331014431344
6105513323344
713313124550
oct3111725620
91072110561
10422030224
111a7252610
12b9406554
1369585b35
144009b160
15270b5ed4
hex1927ab90

422030224 has 80 divisors (see below), whose sum is σ = 1022970240. Its totient is φ = 163860480.

The previous prime is 422030207. The next prime is 422030227.

422030224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (422030227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626752 + ... + 627424.

It is an arithmetic number, because the mean of its divisors is an integer number (12787128).

Almost surely, 2422030224 is an apocalyptic number.

422030224 is a gapful number since it is divisible by the number (44) 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 422030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511485120).

422030224 is an abundant number, since it is smaller than the sum of its proper divisors (600940016).

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

422030224 is a wasteful number, since it uses less digits than its factorization.

422030224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 422030224 is about 20543.3742116528. The cubic root of 422030224 is about 750.0919733133.

The spelling of 422030224 in words is "four hundred twenty-two million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 509 616 673 1018 1232 1346 2036 2692 3563 4072 4711 5384 5599 7126 7403 8144 9422 10768 11198 14252 14806 18844 22396 28504 29612 37688 39193 44792 51821 57008 59224 75376 78386 89584 103642 118448 156772 207284 313544 342557 414568 627088 685114 829136 1370228 2397899 2740456 3768127 4795798 5480912 7536254 9591596 15072508 19183192 26376889 30145016 38366384 52753778 60290032 105507556 211015112 422030224