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544131224 = 237136112253
BaseRepresentation
bin100000011011101…
…100100010011000
31101220212201201022
4200123230202120
52103244144344
6125554342012
716325016260
oct4033544230
91356781638
10544131224
1125a16992a
1213228a908
1388967150
14523a27a0
1532b840ee
hex206ec898

544131224 has 64 divisors (see below), whose sum is σ = 1276376640. Its totient is φ = 211714560.

The previous prime is 544131209. The next prime is 544131227. The reversal of 544131224 is 422131445.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 544131193 and 544131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544131227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38282 + ... + 50534.

It is an arithmetic number, because the mean of its divisors is an integer number (19943385).

Almost surely, 2544131224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638188320).

544131224 is an abundant number, since it is smaller than the sum of its proper divisors (732245416).

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

544131224 is a wasteful number, since it uses less digits than its factorization.

544131224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12340 (or 12336 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 544131224 is about 23326.6205010499. The cubic root of 544131224 is about 816.3966537227.

Adding to 544131224 its reverse (422131445), we get a palindrome (966262669).

The spelling of 544131224 in words is "five hundred forty-four million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 427 488 728 793 854 1586 1708 3172 3416 5551 6344 11102 12253 22204 24506 44408 49012 85771 98024 159289 171542 318578 343084 637156 686168 747433 1115023 1274312 1494866 2230046 2989732 4460092 5232031 5979464 8920184 9716629 10464062 19433258 20928124 38866516 41856248 68016403 77733032 136032806 272065612 544131224