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422292816 = 243211266599
BaseRepresentation
bin11001001010111…
…010110101010000
31002102121200211200
4121022322311100
51331101332231
6105523111200
713315300251
oct3112726520
91072550750
10422292816
111a7411930
12b9512500
136964850a
1440128b28
1527118be6
hex192bad50

422292816 has 60 divisors (see below), whose sum is σ = 1289277600. Its totient is φ = 127967040.

The previous prime is 422292781. The next prime is 422292821. The reversal of 422292816 is 618292224.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131716 + ... + 134883.

It is an arithmetic number, because the mean of its divisors is an integer number (21487960).

Almost surely, 2422292816 is an apocalyptic number.

It is an amenable number.

422292816 is an abundant number, since it is smaller than the sum of its proper divisors (866984784).

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

422292816 is a wasteful number, since it uses less digits than its factorization.

422292816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266624 (or 266615 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 422292816 is about 20549.7643782112. The cubic root of 422292816 is about 750.2475129741.

The spelling of 422292816 in words is "four hundred twenty-two million, two hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 266599 533198 799797 1066396 1599594 2132792 2399391 2932589 3199188 4265584 4798782 5865178 6398376 8797767 9597564 11730356 12796752 17595534 19195128 23460712 26393301 35191068 38390256 46921424 52786602 70382136 105573204 140764272 211146408 422292816