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214382448 = 243272231321
BaseRepresentation
bin11001100011100…
…11011101110000
3112221101202102200
430301303131300
5414340214243
633134543200
75212135500
oct1461633560
9487352380
10214382448
11100016785
125b967b00
1335551827
1420687a00
1513c4aad3
hexcc73770

214382448 has 180 divisors, whose sum is σ = 728823888. Its totient is φ = 58544640.

The previous prime is 214382431. The next prime is 214382479. The reversal of 214382448 is 844283412.

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 35 ways as a sum of consecutive naturals, for example, 161628 + ... + 162948.

Almost surely, 2214382448 is an apocalyptic number.

214382448 is a gapful number since it is divisible by the number (28) 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 214382448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364411944).

214382448 is an abundant number, since it is smaller than the sum of its proper divisors (514441440).

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

214382448 is a wasteful number, since it uses less digits than its factorization.

214382448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1356 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 214382448 is about 14641.8048067853. The cubic root of 214382448 is about 598.4985123591.

The spelling of 214382448 in words is "two hundred fourteen million, three hundred eighty-two thousand, four hundred forty-eight".