Search a number
-
+
204122430 = 2355167503
BaseRepresentation
bin11000010101010…
…10100100111110
3112020002111100000
430022222210332
5404223404210
632131015130
75026004061
oct1412524476
9466074300
10204122430
11a5249226
125843a4a6
133339b805
141d1768d8
1512dc0ac0
hexc2aa93e

204122430 has 96 divisors (see below), whose sum is σ = 554770944. Its totient is φ = 53999136.

The previous prime is 204122423. The next prime is 204122449. The reversal of 204122430 is 34221402.

204122430 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405559 + ... + 406061.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2204122430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204122430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277385472).

204122430 is an abundant number, since it is smaller than the sum of its proper divisors (350648514).

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

204122430 is a wasteful number, since it uses less digits than its factorization.

204122430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204122430 is about 14287.1421215021. The cubic root of 204122430 is about 588.7942723006.

Adding to 204122430 its reverse (34221402), we get a palindrome (238343832).

The spelling of 204122430 in words is "two hundred four million, one hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 243 270 334 405 486 501 503 810 835 1002 1006 1215 1503 1509 1670 2430 2505 2515 3006 3018 4509 4527 5010 5030 7515 7545 9018 9054 13527 13581 15030 15090 22545 22635 27054 27162 40581 40743 45090 45270 67635 67905 81162 81486 84001 122229 135270 135810 168002 202905 203715 244458 252003 405810 407430 420005 504006 611145 756009 840010 1222290 1260015 1512018 2268027 2520030 3780045 4536054 6804081 7560090 11340135 13608162 20412243 22680270 34020405 40824486 68040810 102061215 204122430