Search a number
-
+
215208144 = 2433498167
BaseRepresentation
bin11001101001111…
…01000011010000
3112222221201002000
430310331003100
5420043130034
633204354000
75222144664
oct1464750320
9488851060
10215208144
11100530078
12600a5900
13357805c8
14208208a4
1513d60599
hexcd3d0d0

215208144 has 40 divisors (see below), whose sum is σ = 617728320. Its totient is φ = 71735904.

The previous prime is 215208131. The next prime is 215208167. The reversal of 215208144 is 441802512.

215208144 is a `hidden beast` number, since 21 + 520 + 81 + 44 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248652 + ... + 249515.

It is an arithmetic number, because the mean of its divisors is an integer number (15443208).

Almost surely, 2215208144 is an apocalyptic number.

215208144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

215208144 is an abundant number, since it is smaller than the sum of its proper divisors (402520176).

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

215208144 is a wasteful number, since it uses less digits than its factorization.

215208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498184 (or 498172 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 215208144 is about 14669.9742331062. The cubic root of 215208144 is about 599.2659022003.

The spelling of 215208144 in words is "two hundred fifteen million, two hundred eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 498167 996334 1494501 1992668 2989002 3985336 4483503 5978004 7970672 8967006 11956008 13450509 17934012 23912016 26901018 35868024 53802036 71736048 107604072 215208144