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224057496 = 233132371493
BaseRepresentation
bin11010101101011…
…01100010011000
3120121121022002210
431112231202120
5424324314441
634122155120
75360312565
oct1526554230
9517538083
10224057496
11105524793
1263052aa0
133755b500
1421a8586c
1514a0c616
hexd5ad898

224057496 has 96 divisors (see below), whose sum is σ = 623356560. Its totient is φ = 67032576.

The previous prime is 224057489. The next prime is 224057521. The reversal of 224057496 is 694750422.

224057496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149326 + ... + 150818.

Almost surely, 2224057496 is an apocalyptic number.

224057496 is a gapful number since it is divisible by the number (26) 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 224057496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311678280).

224057496 is an abundant number, since it is smaller than the sum of its proper divisors (399299064).

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

224057496 is a wasteful number, since it uses less digits than its factorization.

224057496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 224057496 is about 14968.5502303997. The cubic root of 224057496 is about 607.3697517512.

The spelling of 224057496 in words is "two hundred twenty-four million, fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 169 222 296 312 338 444 481 507 676 888 962 1014 1352 1443 1493 1924 2028 2886 2986 3848 4056 4479 5772 5972 6253 8958 11544 11944 12506 17916 18759 19409 25012 35832 37518 38818 50024 55241 58227 75036 77636 110482 116454 150072 155272 165723 220964 232908 252317 331446 441928 465816 504634 662892 718133 756951 1009268 1325784 1436266 1513902 2018536 2154399 2872532 3027804 4308798 5745064 6055608 8617596 9335729 17235192 18671458 28007187 37342916 56014374 74685832 112028748 224057496