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470218112 = 2772137379
BaseRepresentation
bin11100000001101…
…111010110000000
31012202210112222122
4130001233112000
51430333434422
6114354223412
714436534200
oct3401572600
91182715878
10470218112
11221475911
12111584b68
1376558490
1446642400
152b433d42
hex1c06f580

470218112 has 192 divisors, whose sum is σ = 1204660800. Its totient is φ = 181149696.

The previous prime is 470218103. The next prime is 470218121. The reversal of 470218112 is 211812074.

It is an interprime number because it is at equal distance from previous prime (470218103) and next prime (470218121).

It is a super-2 number, since 2×4702181122 = 442210145705689088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5952089 + ... + 5952167.

It is an arithmetic number, because the mean of its divisors is an integer number (6274275).

Almost surely, 2470218112 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 470218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602330400).

470218112 is an abundant number, since it is smaller than the sum of its proper divisors (734442688).

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

470218112 is a wasteful number, since it uses less digits than its factorization.

470218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 470218112 is about 21684.5131833758. The cubic root of 470218112 is about 777.6182618053.

The spelling of 470218112 in words is "four hundred seventy million, two hundred eighteen thousand, one hundred twelve".