Search a number
-
+
205245012 = 223717143729
BaseRepresentation
bin11000011101111…
…00101001010100
3112022012112020010
430032330221110
5410020320022
632211040220
75041360650
oct1416745124
9468175203
10205245012
11a5945685
12588a0070
13336a276b
141d389a60
151304350c
hexc3bca54

205245012 has 48 divisors (see below), whose sum is σ = 579519360. Its totient is φ = 55191552.

The previous prime is 205244993. The next prime is 205245013. The reversal of 205245012 is 210542502.

It is a happy number.

205245012 is digitally balanced in base 2, base 3 and base 9, because in such bases 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 (21).

205245012 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 205245012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205245013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70437 + ... + 73292.

It is an arithmetic number, because the mean of its divisors is an integer number (12073320).

Almost surely, 2205245012 is an apocalyptic number.

It is an amenable number.

205245012 is an abundant number, since it is smaller than the sum of its proper divisors (374274348).

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

205245012 is a wasteful number, since it uses less digits than its factorization.

205245012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143760 (or 143758 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205245012 is about 14326.3746984364. The cubic root of 205245012 is about 589.8716679611.

Adding to 205245012 its reverse (210542502), we get a palindrome (415787514).

The spelling of 205245012 in words is "two hundred five million, two hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 143729 287458 431187 574916 862374 1006103 1724748 2012206 2443393 3018309 4024412 4886786 6036618 7330179 9773572 12073236 14660358 17103751 29320716 34207502 51311253 68415004 102622506 205245012