Search a number
-
+
219148240 = 2452739353
BaseRepresentation
bin11010000111111…
…10111111010000
3120021100212212111
431003332333100
5422100220430
633425035104
75300505103
oct1503767720
9507325774
10219148240
11102781353
1261485a94
133652cb1c
142116873a
151438cc2a
hexd0fefd0

219148240 has 20 divisors (see below), whose sum is σ = 509519844. Its totient is φ = 87659264.

The previous prime is 219148231. The next prime is 219148271. The reversal of 219148240 is 42841912.

It can be written as a sum of positive squares in 2 ways, for example, as 124902976 + 94245264 = 11176^2 + 9708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1369597 + ... + 1369756.

Almost surely, 2219148240 is an apocalyptic number.

219148240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219148240 is an abundant number, since it is smaller than the sum of its proper divisors (290371604).

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

219148240 is a wasteful number, since it uses less digits than its factorization.

219148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739366 (or 2739360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 219148240 is about 14803.6563051160. The cubic root of 219148240 is about 602.9009882105.

The spelling of 219148240 in words is "two hundred nineteen million, one hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2739353 5478706 10957412 13696765 21914824 27393530 43829648 54787060 109574120 219148240