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21322415550 = 23521515471721
BaseRepresentation
bin10011110110111010…
…100011110110111110
32001000222212221100110
4103312322203312332
5322132014244200
613443445210450
71353250353552
oct236672436676
961028787313
1021322415550
119051a47437
124170a00a26
13201a660647
141063b9d862
1584bdd7b50
hex4f6ea3dbe

21322415550 has 96 divisors (see below), whose sum is σ = 53358084864. Its totient is φ = 5634720000.

The previous prime is 21322415539. The next prime is 21322415573. The reversal of 21322415550 is 5551422312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12388690 + ... + 12390410.

It is an arithmetic number, because the mean of its divisors is an integer number (555813384).

Almost surely, 221322415550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322415550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26679042432).

21322415550 is an abundant number, since it is smaller than the sum of its proper divisors (32035669314).

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

21322415550 is a wasteful number, since it uses less digits than its factorization.

21322415550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 21322415550 its reverse (5551422312), we get a palindrome (26873837862).

The spelling of 21322415550 in words is "twenty-one billion, three hundred twenty-two million, four hundred fifteen thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 151 302 453 547 755 906 1094 1510 1641 1721 2265 2735 3282 3442 3775 4530 5163 5470 7550 8205 8605 10326 11325 13675 16410 17210 22650 25815 27350 41025 43025 51630 82050 82597 86050 129075 165194 247791 258150 259871 412985 495582 519742 779613 825970 941387 1238955 1299355 1559226 1882774 2064925 2477910 2598710 2824161 3898065 4129850 4706935 5648322 6194775 6496775 7796130 9413870 12389550 12993550 14120805 19490325 23534675 28241610 38980650 47069350 70604025 141208050 142149437 284298874 426448311 710747185 852896622 1421494370 2132241555 3553735925 4264483110 7107471850 10661207775 21322415550