Search a number
-
+
22134466332 = 223211101553417
BaseRepresentation
bin10100100111010100…
…010010011100011100
32010010120220101121100
4110213110102130130
5330312410410312
614100214233100
71412340600546
oct244724223434
963116811540
1022134466332
119429369190
124358955790
132119972674
1410dd984696
158983405dc
hex52751271c

22134466332 has 72 divisors (see below), whose sum is σ = 61641910512. Its totient is φ = 6640992000.

The previous prime is 22134466261. The next prime is 22134466339. The reversal of 22134466332 is 23366443122.

22134466332 is a `hidden beast` number, since 2 + 2 + 13 + 4 + 4 + 6 + 633 + 2 = 666.

It is a super-3 number, since 3×221344663323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134466339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236713 + ... + 316704.

It is an arithmetic number, because the mean of its divisors is an integer number (856137646).

Almost surely, 222134466332 is an apocalyptic number.

22134466332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22134466332 is an abundant number, since it is smaller than the sum of its proper divisors (39507444180).

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

22134466332 is a wasteful number, since it uses less digits than its factorization.

22134466332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553539 (or 553534 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 22134466332 in words is "twenty-two billion, one hundred thirty-four million, four hundred sixty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3636 4444 6666 9999 13332 19998 39996 553417 1106834 1660251 2213668 3320502 4980753 6087587 6641004 9961506 12175174 18262761 19923012 24350348 36525522 54788283 55895117 73051044 109576566 111790234 167685351 219153132 223580468 335370702 503056053 614846287 670741404 1006112106 1229692574 1844538861 2012224212 2459385148 3689077722 5533616583 7378155444 11067233166 22134466332