Search a number
-
+
215470080 = 2123257167
BaseRepresentation
bin11001101011111…
…01000000000000
3120000110000101100
430311331000000
5420130020310
633214134400
75224315440
oct1465750000
9500400340
10215470080
11100699951
12601b1400
13358428b7
142088c120
1513db2ec0
hexcd7d000

215470080 has 312 divisors, whose sum is σ = 858678912. Its totient is φ = 48955392.

The previous prime is 215470061. The next prime is 215470091. The reversal of 215470080 is 80074512.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1290157 + ... + 1290323.

It is an arithmetic number, because the mean of its divisors is an integer number (2752176).

Almost surely, 2215470080 is an apocalyptic number.

215470080 is a gapful number since it is divisible by the number (20) 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 215470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429339456).

215470080 is an abundant number, since it is smaller than the sum of its proper divisors (643208832).

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

215470080 is a wasteful number, since it uses less digits than its factorization.

215470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 215470080 is about 14678.8991412844. The cubic root of 215470080 is about 599.5089315292.

The spelling of 215470080 in words is "two hundred fifteen million, four hundred seventy thousand, eighty".