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422718240 = 25357971297
BaseRepresentation
bin11001001100100…
…010101100100000
31002110102022102010
4121030202230200
51331203440430
6105540152520
713322021460
oct3114425440
91073368363
10422718240
111a768251a
12b9698740
1369767049
14401d9ba0
152719ecb0
hex19322b20

422718240 has 192 divisors, whose sum is σ = 1538659584. Its totient is φ = 95551488.

The previous prime is 422718211. The next prime is 422718287. The reversal of 422718240 is 42817224.

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

It is a junction number, because it is equal to n+sod(n) for n = 422718198 and 422718207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325272 + ... + 326568.

It is an arithmetic number, because the mean of its divisors is an integer number (8013852).

Almost surely, 2422718240 is an apocalyptic number.

422718240 is a gapful number since it is divisible by the number (40) 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 422718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769329792).

422718240 is an abundant number, since it is smaller than the sum of its proper divisors (1115941344).

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

422718240 is a wasteful number, since it uses less digits than its factorization.

422718240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 422718240 is about 20560.1128401573. The cubic root of 422718240 is about 750.4993652165.

The spelling of 422718240 in words is "four hundred twenty-two million, seven hundred eighteen thousand, two hundred forty".