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215480304 = 243313173761
BaseRepresentation
bin11001101011111…
…11011111110000
3120000110112102000
430311333133300
5420130332204
633214254000
75224360314
oct1465773760
9500415360
10215480304
111006a65a6
12601b7300
1335847450
1420891b44
1513db6039
hexcd7f7f0

215480304 has 320 divisors, whose sum is σ = 736202880. Its totient is φ = 59719680.

The previous prime is 215480227. The next prime is 215480333. The reversal of 215480304 is 403084512.

It is a super-2 number, since 2×2154803042 = 92863522823864832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3532434 + ... + 3532494.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2215480304 is an apocalyptic number.

215480304 is a gapful number since it is divisible by the number (24) 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 215480304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368101440).

215480304 is an abundant number, since it is smaller than the sum of its proper divisors (520722576).

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

215480304 is a wasteful number, since it uses less digits than its factorization.

215480304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 215480304 is about 14679.2473921520. The cubic root of 215480304 is about 599.5184135609.

The spelling of 215480304 in words is "two hundred fifteen million, four hundred eighty thousand, three hundred four".