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215450512 = 2429538761
BaseRepresentation
bin11001101011110…
…00001110010000
3120000102000112121
430311320032100
5420123404022
633213504024
75224204414
oct1465701620
9500360477
10215450512
11100686182
12601a2014
1335836a14
1420884d44
1513dac2c7
hexcd78390

215450512 has 40 divisors (see below), whose sum is σ = 440027640. Its totient is φ = 102036480.

The previous prime is 215450489. The next prime is 215450549. The reversal of 215450512 is 215054512.

It can be written as a sum of positive squares in 4 ways, for example, as 15397776 + 200052736 = 3924^2 + 14144^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20212 + ... + 28972.

It is an arithmetic number, because the mean of its divisors is an integer number (11000691).

Almost surely, 2215450512 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 215450512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220013820).

215450512 is an abundant number, since it is smaller than the sum of its proper divisors (224577128).

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

215450512 is a wasteful number, since it uses less digits than its factorization.

215450512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851 (or 8845 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 215450512 is about 14678.2325911535. The cubic root of 215450512 is about 599.4907827668.

The spelling of 215450512 in words is "two hundred fifteen million, four hundred fifty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 6148 8761 12296 17522 24592 35044 70088 140176 254069 464333 508138 928666 1016276 1857332 2032552 3714664 4065104 7429328 13465657 26931314 53862628 107725256 215450512