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422718912 = 2635711353
BaseRepresentation
bin11001001100100…
…010110111000000
31002110102100100000
4121030202313000
51331204001122
6105540200000
713322023440
oct3114426700
91073370300
10422718912
111a7682a80
12b9699000
1369767445
14401da120
15271a00ac
hex19322dc0

422718912 has 336 divisors, whose sum is σ = 1571012352. Its totient is φ = 109486080.

The previous prime is 422718911. The next prime is 422718929. The reversal of 422718912 is 219817224.

It is a tau number, because it is divible by the number of its divisors (336).

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 not an unprimeable number, because it can be changed into a prime (422718911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197328 + ... + 1197680.

It is an arithmetic number, because the mean of its divisors is an integer number (4675632).

Almost surely, 2422718912 is an apocalyptic number.

422718912 is a gapful number since it is divisible by the number (42) 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 422718912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785506176).

422718912 is an abundant number, since it is smaller than the sum of its proper divisors (1148293440).

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

422718912 is a wasteful number, since it uses less digits than its factorization.

422718912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 422718912 is about 20560.1291824735. The cubic root of 422718912 is about 750.4997629087.

The spelling of 422718912 in words is "four hundred twenty-two million, seven hundred eighteen thousand, nine hundred twelve".