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21332132224 = 271313197861
BaseRepresentation
bin10011110111011111…
…101000000110000000
32001001200011121010021
4103313133220012000
5322142011212344
613444433343224
71353426063214
oct236737500600
961050147107
1021332132224
119057483747
124174107b14
13201c683260
1410651ac944
1584cba6b84
hex4f77e8180

21332132224 has 64 divisors (see below), whose sum is σ = 46116488880. Its totient is φ = 9770342400.

The previous prime is 21332132221. The next prime is 21332132281. The reversal of 21332132224 is 42223123312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332132221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169054 + ... + 266914.

Almost surely, 221332132224 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 21332132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23058244440).

21332132224 is an abundant number, since it is smaller than the sum of its proper divisors (24784356656).

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

21332132224 is a wasteful number, since it uses less digits than its factorization.

21332132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98019 (or 98007 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

Adding to 21332132224 its reverse (42223123312), we get a palindrome (63555255536).

The spelling of 21332132224 in words is "twenty-one billion, three hundred thirty-two million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 131 208 262 416 524 832 1048 1664 1703 2096 3406 4192 6812 8384 13624 16768 27248 54496 97861 108992 195722 217984 391444 782888 1272193 1565776 2544386 3131552 5088772 6263104 10177544 12526208 12819791 20355088 25639582 40710176 51279164 81420352 102558328 162840704 166657283 205116656 333314566 410233312 666629132 820466624 1333258264 1640933248 2666516528 5333033056 10666066112 21332132224