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20241531220 = 22531179182389
BaseRepresentation
bin10010110110011111…
…010100000101010100
31221020200000022210111
4102312133110011110
5312423312444340
613144314132404
71314414114361
oct226637240524
957220008714
1020241531220
1186478a8aa9
123b0aa21104
131ba7743711
14da03d9468
157d707aaea
hex4b67d4154

20241531220 has 48 divisors (see below), whose sum is σ = 44123788800. Its totient is φ = 7791615360.

The previous prime is 20241531217. The next prime is 20241531229. The reversal of 20241531220 is 2213514202.

It is a happy number.

It is a super-2 number, since 2×202415312202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20241531191 and 20241531200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241531229) 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 15 ways as a sum of consecutive naturals, for example, 19786 + ... + 202174.

It is an arithmetic number, because the mean of its divisors is an integer number (919245600).

Almost surely, 220241531220 is an apocalyptic number.

20241531220 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 20241531220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061894400).

20241531220 is an abundant number, since it is smaller than the sum of its proper divisors (23882257580).

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

20241531220 is a wasteful number, since it uses less digits than its factorization.

20241531220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182608 (or 182606 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 20241531220 in words is "twenty billion, two hundred forty-one million, five hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 179 310 358 620 716 895 1790 3580 5549 11098 22196 27745 55490 110980 182389 364778 729556 911945 1823890 3647780 5654059 11308118 22616236 28270295 32647631 56540590 65295262 113081180 130590524 163238155 326476310 652952620 1012076561 2024153122 4048306244 5060382805 10120765610 20241531220