Search a number
-
+
245205216 = 25323723011
BaseRepresentation
bin11101001110110…
…00100011100000
3122002101201022200
432213120203200
51000233031331
640155333200
76035132004
oct1647304340
9562351280
10245205216
11116459343
126a151200
133ba54159
14247cc704
15167d85e6
hexe9d88e0

245205216 has 72 divisors (see below), whose sum is σ = 716179464. Its totient is φ = 79522560.

The previous prime is 245205211. The next prime is 245205217. The reversal of 245205216 is 612502542.

245205216 is a `hidden beast` number, since 245 + 205 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 245205216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245205211) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 850 + ... + 22161.

It is an arithmetic number, because the mean of its divisors is an integer number (9946937).

Almost surely, 2245205216 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 245205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358089732).

245205216 is an abundant number, since it is smaller than the sum of its proper divisors (470974248).

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

245205216 is a wasteful number, since it uses less digits than its factorization.

245205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23064 (or 23053 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 245205216 is about 15659.0298550070. The cubic root of 245205216 is about 625.9071337231.

Adding to 245205216 its reverse (612502542), we get a palindrome (857707758).

The spelling of 245205216 in words is "two hundred forty-five million, two hundred five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 23011 46022 69033 92044 138066 184088 207099 276132 368176 414198 552264 736352 828396 851407 1104528 1656792 1702814 2209056 2554221 3313584 3405628 5108442 6627168 6811256 7662663 10216884 13622512 15325326 20433768 27245024 30650652 40867536 61301304 81735072 122602608 245205216