Search a number
-
+
422647740 = 2233529137197
BaseRepresentation
bin11001001100010…
…001011110111100
31002110021201201000
4121030101132330
51331144211430
6105534450300
713321306104
oct3114213674
91073251630
10422647740
111a7634559
12b9663990
1369740c28
14401bc204
1527188e60
hex193117bc

422647740 has 192 divisors, whose sum is σ = 1377129600. Its totient is φ = 107476992.

The previous prime is 422647717. The next prime is 422647751. The reversal of 422647740 is 47746224.

It is a happy number.

422647740 is a `hidden beast` number, since 4 + 2 + 2 + 647 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×4226477402 = 357262224254215200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 422647695 and 422647704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2145322 + ... + 2145518.

It is an arithmetic number, because the mean of its divisors is an integer number (7172550).

Almost surely, 2422647740 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 422647740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688564800).

422647740 is an abundant number, since it is smaller than the sum of its proper divisors (954481860).

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

422647740 is a wasteful number, since it uses less digits than its factorization.

422647740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 422647740 is about 20558.3982839131. The cubic root of 422647740 is about 750.4576406965.

The spelling of 422647740 in words is "four hundred twenty-two million, six hundred forty-seven thousand, seven hundred forty".