Search a number
-
+
204450012 = 2232133711807
BaseRepresentation
bin11000010111110…
…10100011011100
3112020201010200200
430023322203130
5404314400022
632142023500
75031540114
oct1413724334
9466633620
10204450012
11a5452358
1258577b90
1333484950
141d220044
1512e37bac
hexc2fa8dc

204450012 has 72 divisors (see below), whose sum is σ = 571648896. Its totient is φ = 61202304.

The previous prime is 204449969. The next prime is 204450017. The reversal of 204450012 is 210054402.

204450012 is a `hidden beast` number, since 204 + 450 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204450017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11413 + ... + 23219.

It is an arithmetic number, because the mean of its divisors is an integer number (7939568).

Almost surely, 2204450012 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 204450012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285824448).

204450012 is an abundant number, since it is smaller than the sum of its proper divisors (367198884).

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

204450012 is a wasteful number, since it uses less digits than its factorization.

204450012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11867 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204450012 is about 14298.6017498216. The cubic root of 204450012 is about 589.1090757221.

The spelling of 204450012 in words is "two hundred four million, four hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 11807 17316 23614 35421 47228 70842 106263 141684 153491 212526 306982 425052 436859 460473 613964 873718 920946 1310577 1381419 1747436 1841892 2621154 2762838 3931731 5242308 5525676 5679167 7863462 11358334 15726924 17037501 22716668 34075002 51112503 68150004 102225006 204450012