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24220204000 = 255310159951
BaseRepresentation
bin10110100011101000…
…101111101111100000
32022111221120211210121
4112203220233233200
5344100333012000
615043203010024
71515125223436
oct264350575740
968457524717
1024220204000
11a2a9745823
12483b369914
13238cb08875
14125a99ad56
1596b4dbb1a
hex5a3a2fbe0

24220204000 has 96 divisors (see below), whose sum is σ = 60099242112. Its totient is φ = 9592000000.

The previous prime is 24220203971. The next prime is 24220204013. The reversal of 24220204000 is 40202242.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374025 + ... + 433975.

It is an arithmetic number, because the mean of its divisors is an integer number (626033772).

Almost surely, 224220204000 is an apocalyptic number.

24220204000 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 24220204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30049621056).

24220204000 is an abundant number, since it is smaller than the sum of its proper divisors (35879038112).

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

24220204000 is a wasteful number, since it uses less digits than its factorization.

24220204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60077 (or 60059 counting only the distinct ones).

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

Adding to 24220204000 its reverse (40202242), we get a palindrome (24260406242).

The spelling of 24220204000 in words is "twenty-four billion, two hundred twenty million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 59951 80800 101000 119902 202000 239804 299755 404000 479608 599510 959216 1199020 1498775 1918432 2398040 2997550 4796080 5995100 6055051 7493875 9592160 11990200 12110102 14987750 23980400 24220204 29975500 30275255 47960800 48440408 59951000 60550510 96880816 119902000 121101020 151376275 193761632 239804000 242202040 302752550 484404080 605505100 756881375 968808160 1211010200 1513762750 2422020400 3027525500 4844040800 6055051000 12110102000 24220204000