Search a number
-
+
2231172 = 223373283
BaseRepresentation
bin1000100000101110000100
311012100121000
420200232010
51032344142
6115453300
724651606
oct10405604
94170530
102231172
111294349
128b7230
13601728
14421176
152e114c
hex220b84

2231172 has 48 divisors (see below), whose sum is σ = 5884480. Its totient is φ = 730944.

The previous prime is 2231171. The next prime is 2231209. The reversal of 2231172 is 2711322.

It is a super-3 number, since 3×22311723 = 33321182721860401344, which contains 333 as substring.

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 (2231171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7743 + ... + 8025.

22231172 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 2231172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942240).

2231172 is an abundant number, since it is smaller than the sum of its proper divisors (3653308).

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

2231172 is a wasteful number, since it uses less digits than its factorization.

2231172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2231172 is about 1493.7108153856. The cubic root of 2231172 is about 130.6705393595.

Adding to 2231172 its reverse (2711322), we get a palindrome (4942494).

The spelling of 2231172 in words is "two million, two hundred thirty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 283 292 438 566 657 849 876 1132 1314 1698 1971 2547 2628 3396 3942 5094 7641 7884 10188 15282 20659 30564 41318 61977 82636 123954 185931 247908 371862 557793 743724 1115586 2231172