Search a number
-
+
233046132 = 2231117241149
BaseRepresentation
bin11011110010000…
…00000001110100
3121020111222012020
431321000001310
5434124434012
635042553140
75526600534
oct1571000164
9536458166
10233046132
1110a604010
12660687b0
1339387927
1422d454c4
15156d5a8c
hexde40074

233046132 has 144 divisors (see below), whose sum is σ = 649857600. Its totient is φ = 64409600.

The previous prime is 233046113. The next prime is 233046137. The reversal of 233046132 is 231640332.

It is a super-2 number, since 2×2330461322 = 108620999280322848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233046137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563994 + ... + 1564142.

It is an arithmetic number, because the mean of its divisors is an integer number (4512900).

Almost surely, 2233046132 is an apocalyptic number.

233046132 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 233046132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324928800).

233046132 is an abundant number, since it is smaller than the sum of its proper divisors (416811468).

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

233046132 is a wasteful number, since it uses less digits than its factorization.

233046132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 233046132 is about 15265.8485515873. The cubic root of 233046132 is about 615.3855576925.

Adding to 233046132 its reverse (231640332), we get a palindrome (464686464).

The spelling of 233046132 in words is "two hundred thirty-three million, forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 41 44 51 66 68 82 102 123 132 149 164 187 204 246 289 298 374 447 451 492 561 578 596 697 748 867 894 902 1122 1156 1353 1394 1639 1734 1788 1804 2091 2244 2533 2706 2788 3179 3278 3468 4182 4917 5066 5412 6109 6358 6556 7599 7667 8364 9537 9834 10132 11849 12218 12716 15198 15334 18327 19074 19668 23001 23698 24436 27863 30396 30668 35547 36654 38148 43061 46002 47396 55726 67199 71094 73308 83589 86122 92004 103853 111452 129183 130339 134398 142188 167178 172244 201597 207706 258366 260678 268796 311559 334356 391017 403194 415412 473671 516732 521356 623118 782034 806388 947342 1142383 1246236 1421013 1564068 1765501 1894684 2284766 2842026 3427149 3531002 4569532 5296503 5684052 6854298 7062004 10593006 13708596 19420511 21186012 38841022 58261533 77682044 116523066 233046132