Search a number
-
+
33181230 = 23537167179
BaseRepresentation
bin111111010010…
…0111000101110
32022102210002110
41332210320232
531443244410
63143104450
7552015165
oct176447056
968383073
1033181230
1117803605
12b142126
136b49c84
14459a3dc
152da6720
hex1fa4e2e

33181230 has 64 divisors (see below), whose sum is σ = 82736640. Its totient is φ = 8509824.

The previous prime is 33181219. The next prime is 33181231. The reversal of 33181230 is 3218133.

It is a happy number.

It is a super-2 number, since 2×331812302 = 2201988048625800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33181197 and 33181206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33181231) 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, 185281 + ... + 185459.

It is an arithmetic number, because the mean of its divisors is an integer number (1292760).

Almost surely, 233181230 is an apocalyptic number.

33181230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33181230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41368320).

33181230 is an abundant number, since it is smaller than the sum of its proper divisors (49555410).

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

33181230 is a wasteful number, since it uses less digits than its factorization.

33181230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 33181230 is about 5760.3150955482. The cubic root of 33181230 is about 321.3395345627.

Adding to 33181230 its reverse (3218133), we get a palindrome (36399363).

It can be divided in two parts, 33181 and 230, that added together give a triangular number (33411 = T258).

The spelling of 33181230 in words is "thirty-three million, one hundred eighty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 167 179 185 222 334 358 370 501 537 555 835 895 1002 1074 1110 1670 1790 2505 2685 5010 5370 6179 6623 12358 13246 18537 19869 29893 30895 33115 37074 39738 59786 61790 66230 89679 92685 99345 149465 179358 185370 198690 298930 448395 896790 1106041 2212082 3318123 5530205 6636246 11060410 16590615 33181230