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24002240020 = 22511210919091
BaseRepresentation
bin10110010110101001…
…010001111000010100
32021221202110010102121
4112112221101320110
5343124033140040
615005415145324
71506540450103
oct262651217024
967852403377
1024002240020
11a1a7703200
12479a375244
132356901ab5
141239a6003a
159572d4c4a
hex596a51e14

24002240020 has 72 divisors (see below), whose sum is σ = 55460399904. Its totient is φ = 8719128000.

The previous prime is 24002240011. The next prime is 24002240023. The reversal of 24002240020 is 2004220042.

It is a super-2 number, since 2×240022400202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24002239976 and 24002240003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24002240023) 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, 2635675 + ... + 2644765.

It is an arithmetic number, because the mean of its divisors is an integer number (770283332).

Almost surely, 224002240020 is an apocalyptic number.

24002240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24002240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27730199952).

24002240020 is an abundant number, since it is smaller than the sum of its proper divisors (31458159884).

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

24002240020 is a wasteful number, since it uses less digits than its factorization.

24002240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 24002240020 its reverse (2004220042), we get a palindrome (26006460062).

The spelling of 24002240020 in words is "twenty-four billion, two million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1091 1210 2182 2420 4364 5455 9091 10910 12001 18182 21820 24002 36364 45455 48004 60005 90910 100001 120010 132011 181820 200002 240020 264022 400004 500005 528044 660055 1000010 1100011 1320110 2000020 2200022 2640220 4400044 5500055 9918281 11000110 19836562 22000220 39673124 49591405 99182810 109101091 198365620 218202182 436404364 545505455 1091010910 1200112001 2182021820 2400224002 4800448004 6000560005 12001120010 24002240020