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470022000 = 24353719231
BaseRepresentation
bin11100000000111…
…111011101110000
31012202102120222020
4130000333131300
51430311201000
6114350111440
714435056350
oct3400773560
91182376866
10470022000
11221351538
121114ab580
13764ba136
14465d0b60
152b3e5ba0
hex1c03f770

470022000 has 480 divisors, whose sum is σ = 1886736384. Its totient is φ = 98496000.

The previous prime is 470021987. The next prime is 470022037. The reversal of 470022000 is 220074.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15161985 + ... + 15162015.

Almost surely, 2470022000 is an apocalyptic number.

470022000 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 470022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943368192).

470022000 is an abundant number, since it is smaller than the sum of its proper divisors (1416714384).

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

470022000 is a wasteful number, since it uses less digits than its factorization.

470022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 470022000 is about 21679.9907749058. The cubic root of 470022000 is about 777.5101407196.

Adding to 470022000 its reverse (220074), we get a palindrome (470242074).

The spelling of 470022000 in words is "four hundred seventy million, twenty-two thousand".