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20240224240 = 2451913315937
BaseRepresentation
bin10010110110011010…
…010100111111110000
31221020120112220221211
4102312122110333300
5312422444133430
613144230125504
71314400032055
oct226632247760
957216486854
1020240224240
118647096055
123b0a4b0894
131ba73a6862
14da017902c
157d6dbd72a
hex4b6694ff0

20240224240 has 40 divisors (see below), whose sum is σ = 49535289360. Its totient is φ = 7669979136.

The previous prime is 20240224237. The next prime is 20240224247. The reversal of 20240224240 is 4242204202.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240224247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6656449 + ... + 6659488.

It is an arithmetic number, because the mean of its divisors is an integer number (1238382234).

Almost surely, 220240224240 is an apocalyptic number.

20240224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240224240 is an abundant number, since it is smaller than the sum of its proper divisors (29295065120).

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

20240224240 is a wasteful number, since it uses less digits than its factorization.

20240224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13315969 (or 13315963 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 20240224240 its reverse (4242204202), we get a palindrome (24482428442).

The spelling of 20240224240 in words is "twenty billion, two hundred forty million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 13315937 26631874 53263748 66579685 106527496 133159370 213054992 253002803 266318740 506005606 532637480 1012011212 1065274960 1265014015 2024022424 2530028030 4048044848 5060056060 10120112120 20240224240