Search a number
-
+
223201132 = 227111943887
BaseRepresentation
bin11010100110111…
…00011101101100
3120112222210101121
431103130131230
5424114414012
634051550324
75350115110
oct1523343554
9515883347
10223201132
11104a9a350
12628bb3a4
133731b79b
1421901740
15148dda07
hexd4dc76c

223201132 has 96 divisors (see below), whose sum is σ = 525127680. Its totient is φ = 80377920.

The previous prime is 223201127. The next prime is 223201133. The reversal of 223201132 is 231102322.

It is a super-3 number, since 3×2232011323 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223201133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251193 + ... + 252079.

It is an arithmetic number, because the mean of its divisors is an integer number (5470080).

Almost surely, 2223201132 is an apocalyptic number.

223201132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262563840).

223201132 is an abundant number, since it is smaller than the sum of its proper divisors (301926548).

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

223201132 is a wasteful number, since it uses less digits than its factorization.

223201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223201132 is about 14939.9174027168. The cubic root of 223201132 is about 606.5949600605.

Adding to 223201132 its reverse (231102322), we get a palindrome (454303454).

The spelling of 223201132 in words is "two hundred twenty-three million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 43 44 76 77 86 133 154 172 209 266 301 308 418 473 532 602 817 836 887 946 1204 1463 1634 1774 1892 2926 3268 3311 3548 5719 5852 6209 6622 8987 9757 11438 12418 13244 16853 17974 19514 22876 24836 33706 35948 38141 39028 62909 67412 68299 76282 117971 125818 136598 152564 185383 235942 251636 266987 273196 370766 419551 471884 533974 724679 741532 839102 1067948 1297681 1449358 1678204 2595362 2898716 2936857 5072753 5190724 5873714 7971469 10145506 11747428 15942938 20291012 31885876 55800283 111600566 223201132