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24221320020 = 22325612205949
BaseRepresentation
bin10110100011101101…
…000000001101010100
32022112000200112200200
4112203231000031110
5344101124220040
615043242540500
71515140552232
oct264355001524
968460615620
1024221320020
11a2aa338257
12483b807730
132390109831
14125abab952
1596b65c630
hex5a3b40354

24221320020 has 72 divisors (see below), whose sum is σ = 74675819400. Its totient is φ = 6353130240.

The previous prime is 24221320003. The next prime is 24221320021. The reversal of 24221320020 is 2002312242.

It can be written as a sum of positive squares in 4 ways, for example, as 1189008324 + 23032311696 = 34482^2 + 151764^2 .

It is a super-2 number, since 2×242213200202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 24221319975 and 24221320002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24221320021) 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, 1091995 + ... + 1113954.

Almost surely, 224221320020 is an apocalyptic number.

24221320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24221320020 is an abundant number, since it is smaller than the sum of its proper divisors (50454499380).

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

24221320020 is a wasteful number, since it uses less digits than its factorization.

24221320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206025 (or 2206020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 24221320020 its reverse (2002312242), we get a palindrome (26223632262).

The spelling of 24221320020 in words is "twenty-four billion, two hundred twenty-one million, three hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 2205949 4411898 6617847 8823796 11029745 13235694 19853541 22059490 26471388 33089235 39707082 44118980 66178470 79414164 99267705 132356940 134562889 198535410 269125778 397070820 403688667 538251556 672814445 807377334 1211066001 1345628890 1614754668 2018443335 2422132002 2691257780 4036886670 4844264004 6055330005 8073773340 12110660010 24221320020