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224411096 = 237132811097
BaseRepresentation
bin11010110000000…
…11110111011000
3120122021021011002
431120003313120
5424422123341
634133524132
75363314520
oct1530036730
9518237132
10224411096
11105746418
12631a3648
1337653440
1421b38680
1514a7c29b
hexd603dd8

224411096 has 64 divisors (see below), whose sum is σ = 520188480. Its totient is φ = 88381440.

The previous prime is 224411051. The next prime is 224411111. The reversal of 224411096 is 690114422.

224411096 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204020 + ... + 205116.

It is an arithmetic number, because the mean of its divisors is an integer number (8127945).

Almost surely, 2224411096 is an apocalyptic number.

224411096 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 224411096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260094240).

224411096 is an abundant number, since it is smaller than the sum of its proper divisors (295777384).

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

224411096 is a wasteful number, since it uses less digits than its factorization.

224411096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 224411096 is about 14980.3570050917. The cubic root of 224411096 is about 607.6890939859.

The spelling of 224411096 in words is "two hundred twenty-four million, four hundred eleven thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 281 364 562 728 1097 1124 1967 2194 2248 3653 3934 4388 7306 7679 7868 8776 14261 14612 15358 15736 25571 28522 29224 30716 51142 57044 61432 99827 102284 114088 199654 204568 308257 399308 616514 798616 1233028 2157799 2466056 4007341 4315598 8014682 8631196 16029364 17262392 28051387 32058728 56102774 112205548 224411096