Search a number
-
+
203524164 = 2235415107
BaseRepresentation
bin11000010000110…
…00100001000100
3112011222002200000
430020120201010
5404100233124
632110121300
75020632624
oct1410304104
9464862600
10203524164
11a497a798
12581b0230
133321c3cc
141d05c884
1512d036c9
hexc218844

203524164 has 72 divisors (see below), whose sum is σ = 546637728. Its totient is φ = 66173760.

The previous prime is 203524157. The next prime is 203524169. The reversal of 203524164 is 461425302.

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

It is not an unprimeable number, because it can be changed into a prime (203524169) 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, 37299 + ... + 42405.

Almost surely, 2203524164 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 203524164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273318864).

203524164 is an abundant number, since it is smaller than the sum of its proper divisors (343113564).

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

203524164 is a wasteful number, since it uses less digits than its factorization.

203524164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 203524164 is about 14266.1895403082. The cubic root of 203524164 is about 588.2184735841.

Adding to 203524164 its reverse (461425302), we get a palindrome (664949466).

The spelling of 203524164 in words is "two hundred three million, five hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 738 972 1107 1476 2214 3321 4428 5107 6642 9963 10214 13284 15321 19926 20428 30642 39852 45963 61284 91926 137889 183852 209387 275778 413667 418774 551556 628161 827334 837548 1241001 1256322 1654668 1884483 2482002 2512644 3768966 4964004 5653449 7537932 11306898 16960347 22613796 33920694 50881041 67841388 101762082 203524164