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215264007 = 3372162709
BaseRepresentation
bin11001101010010…
…10101100000111
3120000001112201000
430311022230013
5420101422012
633205504343
75222466600
oct1465125407
9500045630
10215264007
11100569042
12601120b3
133579cb6a
1420836da7
1513d71ddc
hexcd4ab07

215264007 has 24 divisors (see below), whose sum is σ = 370978800. Its totient is φ = 123007248.

The previous prime is 215263987. The next prime is 215264009. The reversal of 215264007 is 700462512.

215264007 is a `hidden beast` number, since 2 + 15 + 2 + 640 + 0 + 7 = 666.

215264007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 215264007 - 28 = 215263751 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215264009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80032 + ... + 82677.

It is an arithmetic number, because the mean of its divisors is an integer number (15457450).

Almost surely, 2215264007 is an apocalyptic number.

215264007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

215264007 is a deficient number, since it is larger than the sum of its proper divisors (155714793).

215264007 is a wasteful number, since it uses less digits than its factorization.

215264007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162732 (or 162719 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 215264007 is about 14671.8781006387. The cubic root of 215264007 is about 599.3177495178.

The spelling of 215264007 in words is "two hundred fifteen million, two hundred sixty-four thousand, seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 162709 488127 1138963 1464381 3416889 4393143 7972741 10250667 23918223 30752001 71754669 215264007