Search a number
-
+
422463450 = 235215717939
BaseRepresentation
bin11001001011100…
…100011111011010
31002102221100220110
4121023210133122
51331122312300
6105530505150
713316610603
oct3113443732
91072840813
10422463450
111a7519052
12b95951b6
13696a8096
1440170daa
152714e550
hex192e47da

422463450 has 48 divisors (see below), whose sum is σ = 1054441440. Its totient is φ = 111933120.

The previous prime is 422463427. The next prime is 422463451. The reversal of 422463450 is 54364224.

It is a super-5 number, since 5×4224634505 (a number of 44 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (422463451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14581 + ... + 32519.

It is an arithmetic number, because the mean of its divisors is an integer number (21967530).

Almost surely, 2422463450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422463450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527220720).

422463450 is an abundant number, since it is smaller than the sum of its proper divisors (631977990).

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

422463450 is a wasteful number, since it uses less digits than its factorization.

422463450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18111 (or 18106 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 422463450 is about 20553.9156853384. The cubic root of 422463450 is about 750.3485491040.

The spelling of 422463450 in words is "four hundred twenty-two million, four hundred sixty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 157 314 471 785 942 1570 2355 3925 4710 7850 11775 17939 23550 35878 53817 89695 107634 179390 269085 448475 538170 896950 1345425 2690850 2816423 5632846 8449269 14082115 16898538 28164230 42246345 70410575 84492690 140821150 211231725 422463450