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422815140 = 22355112719
BaseRepresentation
bin11001001100111…
…010010110100100
31002110121020100000
4121030322112210
51331220041030
6105542221300
713322604126
oct3114722644
91073536300
10422815140
111a7739300
12b9724830
136979c197
1440223216
15271bd860
hex1933a5a4

422815140 has 216 divisors, whose sum is σ = 1463978880. Its totient is φ = 102358080.

The previous prime is 422815117. The next prime is 422815163. The reversal of 422815140 is 41518224.

It is an interprime number because it is at equal distance from previous prime (422815117) and next prime (422815163).

It is a super-3 number, since 3×4228151403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 587701 + ... + 588419.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2422815140 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 422815140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

422815140 is an abundant number, since it is smaller than the sum of its proper divisors (1041163740).

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

422815140 is a wasteful number, since it uses less digits than its factorization.

422815140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 422815140 is about 20562.4692097034. The cubic root of 422815140 is about 750.5567066680.

It can be divided in two parts, 42 and 2815140, that added together give a palindrome (2815182).

The spelling of 422815140 in words is "four hundred twenty-two million, eight hundred fifteen thousand, one hundred forty".