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24220220240 = 2452113143281
BaseRepresentation
bin10110100011101000…
…110011101101010000
32022111221121200002002
4112203220303231100
5344100334021430
615043203213132
71515125321666
oct264350635520
968457550062
1024220220240
11a2a9756a47
12483b3771a8
13238cb13088
14125a9a2c36
1596b4e1845
hex5a3a33b50

24220220240 has 40 divisors (see below), whose sum is σ = 56339055528. Its totient is φ = 9683435520.

The previous prime is 24220220231. The next prime is 24220220243. The reversal of 24220220240 is 4202202242.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 24215094544 = 2264^2 + 155612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24220220243) 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, 97400 + ... + 240680.

Almost surely, 224220220240 is an apocalyptic number.

24220220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24220220240 is an abundant number, since it is smaller than the sum of its proper divisors (32118835288).

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

24220220240 is a wasteful number, since it uses less digits than its factorization.

24220220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145407 (or 145401 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24220220240 its reverse (4202202242), we get a palindrome (28422422482).

It can be divided in two parts, 242202202 and 40, that added together give a palindrome (242202242).

The spelling of 24220220240 in words is "twenty-four billion, two hundred twenty million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2113 4226 8452 10565 16904 21130 33808 42260 84520 143281 169040 286562 573124 716405 1146248 1432810 2292496 2865620 5731240 11462480 302752753 605505506 1211011012 1513763765 2422022024 3027527530 4844044048 6055055060 12110110120 24220220240