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224525312 = 2101131643
BaseRepresentation
bin11010110000111…
…11110000000000
3120122111001211022
431120133300000
5424434302222
634140205012
75364301514
oct1530376000
9518431738
10224525312
11105814210
1263239768
133769341b
1421b68144
1514aa1042
hexd61fc00

224525312 has 88 divisors (see below), whose sum is σ = 506214912. Its totient is φ = 98611200.

The previous prime is 224525303. The next prime is 224525339. The reversal of 224525312 is 213525422.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348863 + ... + 349505.

Almost surely, 2224525312 is an apocalyptic number.

224525312 is a gapful number since it is divisible by the number (22) 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 224525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253107456).

224525312 is an abundant number, since it is smaller than the sum of its proper divisors (281689600).

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

224525312 is a wasteful number, since it uses less digits than its factorization.

224525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 687 counting only the distinct ones).

The product of its digits is 4800, while the sum is 26.

The square root of 224525312 is about 14984.1687123444. The cubic root of 224525312 is about 607.7921727357.

The spelling of 224525312 in words is "two hundred twenty-four million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 643 682 704 992 1024 1286 1364 1408 1984 2572 2728 2816 3968 5144 5456 5632 7073 7936 10288 10912 11264 14146 15872 19933 20576 21824 28292 31744 39866 41152 43648 56584 79732 82304 87296 113168 159464 164608 174592 219263 226336 318928 329216 349184 438526 452672 637856 658432 877052 905344 1275712 1754104 1810688 2551424 3508208 3621376 5102848 7016416 7242752 10205696 14032832 20411392 28065664 56131328 112262656 224525312