Search a number
-
+
23331132 = 22331141479
BaseRepresentation
bin101100100000…
…0000100111100
31121220100022000
41121000010330
521433044012
62152022300
7402211536
oct131000474
947810260
1023331132
1112196030
127991990
134aab706
143154856
1520acddc
hex164013c

23331132 has 96 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 6883200.

The previous prime is 23331103. The next prime is 23331151. The reversal of 23331132 is 23113332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48469 + ... + 48947.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 223331132 is an apocalyptic number.

23331132 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 23331132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

23331132 is an abundant number, since it is smaller than the sum of its proper divisors (44406468).

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

23331132 is a wasteful number, since it uses less digits than its factorization.

23331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 23331132 is about 4830.2310503743. The cubic root of 23331132 is about 285.7449761794.

Adding to 23331132 its reverse (23113332), we get a palindrome (46444464).

The spelling of 23331132 in words is "twenty-three million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 479 492 594 738 902 958 1107 1188 1353 1437 1476 1804 1916 2214 2706 2874 4059 4311 4428 5269 5412 5748 8118 8622 10538 12177 12933 15807 16236 17244 19639 21076 24354 25866 31614 39278 47421 48708 51732 58917 63228 78556 94842 117834 142263 176751 189684 216029 235668 284526 353502 432058 530253 569052 648087 707004 864116 1060506 1296174 1944261 2121012 2592348 3888522 5832783 7777044 11665566 23331132