Search a number
-
+
245206116 = 22341634643
BaseRepresentation
bin11101001110110…
…00110001100100
3122002101202120000
432213120301210
51000233043431
640155341300
76035134431
oct1647306144
9562352500
10245206116
11116459a91
126a151830
133ba5469c
14247ccb88
15167d89e6
hexe9d8c64

245206116 has 60 divisors (see below), whose sum is σ = 645088752. Its totient is φ = 81216432.

The previous prime is 245206111. The next prime is 245206123. The reversal of 245206116 is 611602542.

245206116 is a `hidden beast` number, since 2 + 45 + 2 + 0 + 611 + 6 = 666.

245206116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 245206116.

It is not an unprimeable number, because it can be changed into a prime (245206111) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50491 + ... + 55133.

Almost surely, 2245206116 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 245206116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322544376).

245206116 is an abundant number, since it is smaller than the sum of its proper divisors (399882636).

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

245206116 is a wasteful number, since it uses less digits than its factorization.

245206116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 245206116 is about 15659.0585923931. The cubic root of 245206116 is about 625.9078994977.

Adding to 245206116 its reverse (611602542), we get a palindrome (856808658).

The spelling of 245206116 in words is "two hundred forty-five million, two hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 324 326 489 652 978 1467 1956 2934 4401 4643 5868 8802 9286 13203 13929 17604 18572 26406 27858 41787 52812 55716 83574 125361 167148 250722 376083 501444 752166 756809 1504332 1513618 2270427 3027236 4540854 6811281 9081708 13622562 20433843 27245124 40867686 61301529 81735372 122603058 245206116