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224830192 = 24193831931
BaseRepresentation
bin11010110011010…
…10001011110000
3120200001120001011
431121222023300
5430024031232
634150520304
75400011416
oct1531521360
9520046034
10224830192
11105a02284
1263366094
133776c122
1421c072b6
1514b11547
hexd66a2f0

224830192 has 40 divisors (see below), whose sum is σ = 459970560. Its totient is φ = 106165440.

The previous prime is 224830181. The next prime is 224830213. The reversal of 224830192 is 291038422.

224830192 is digitally balanced in base 2, because in such base 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 7 ways as a sum of consecutive naturals, for example, 115467 + ... + 117397.

It is an arithmetic number, because the mean of its divisors is an integer number (11499264).

Almost surely, 2224830192 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 224830192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229985280).

224830192 is an abundant number, since it is smaller than the sum of its proper divisors (235140368).

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

224830192 is a wasteful number, since it uses less digits than its factorization.

224830192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 224830192 is about 14994.3386649762. The cubic root of 224830192 is about 608.0671526705.

The spelling of 224830192 in words is "two hundred twenty-four million, eight hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 76 152 304 383 766 1532 1931 3064 3862 6128 7277 7724 14554 15448 29108 30896 36689 58216 73378 116432 146756 293512 587024 739573 1479146 2958292 5916584 11833168 14051887 28103774 56207548 112415096 224830192