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2024244196 = 221317292812
BaseRepresentation
bin111100010100111…
…1000001111100100
312020001222021000021
41320221320033210
513121201303241
6532510324524
7101106535402
oct17051701744
95201867007
102024244196
119496a6697
12485ab9744
132634b5540
14152baa472
15bcaa10d1
hex78a783e4

2024244196 has 72 divisors (see below), whose sum is σ = 4193539560. Its totient is φ = 845967360.

The previous prime is 2024244193. The next prime is 2024244197. The reversal of 2024244196 is 6914424202.

It can be written as a sum of positive squares in 12 ways, for example, as 122412096 + 1901832100 = 11064^2 + 43610^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024244193) 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, 7203576 + ... + 7203856.

It is an arithmetic number, because the mean of its divisors is an integer number (58243605).

Almost surely, 22024244196 is an apocalyptic number.

2024244196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2024244196 is an abundant number, since it is smaller than the sum of its proper divisors (2169295364).

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

2024244196 is a wasteful number, since it uses less digits than its factorization.

2024244196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 2024244196 is about 44991.6013940380. The cubic root of 2024244196 is about 1264.9915784199.

Adding to 2024244196 its reverse (6914424202), we get a palindrome (8938668398).

The spelling of 2024244196 in words is "two billion, twenty-four million, two hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 13 17 26 29 34 52 58 68 116 221 281 377 442 493 562 754 884 986 1124 1508 1972 3653 4777 6409 7306 8149 9554 12818 14612 16298 19108 25636 32596 62101 78961 105937 124202 138533 157922 211874 248404 277066 315844 423748 554132 1026493 1342337 1800929 2052986 2289869 2684674 3601858 4105972 4579738 5369348 7203716 9159476 17450381 29768297 34900762 38927773 59536594 69801524 77855546 119073188 155711092 506061049 1012122098 2024244196