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229120192 = 2671274027
BaseRepresentation
bin11011010100000…
…01100011000000
3120222010111211001
431222001203000
5432123321232
634422501344
75451326620
oct1552014300
9528114731
10229120192
11108372434
1264894854
13386119a2
1422602880
15151ac6e7
hexda818c0

229120192 has 56 divisors (see below), whose sum is σ = 523833344. Its totient is φ = 97396992.

The previous prime is 229120147. The next prime is 229120193. The reversal of 229120192 is 291021922.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 229120192.

It is not an unprimeable number, because it can be changed into a prime (229120193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54883 + ... + 58909.

Almost surely, 2229120192 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 229120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261916672).

229120192 is an abundant number, since it is smaller than the sum of its proper divisors (294713152).

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

229120192 is a wasteful number, since it uses less digits than its factorization.

229120192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 229120192 is about 15136.7166849353. The cubic root of 229120192 is about 611.9103347355.

The spelling of 229120192 in words is "two hundred twenty-nine million, one hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 224 254 448 508 889 1016 1778 2032 3556 4027 4064 7112 8054 8128 14224 16108 28189 28448 32216 56378 56896 64432 112756 128864 225512 257728 451024 511429 902048 1022858 1804096 2045716 3580003 4091432 7160006 8182864 14320012 16365728 28640024 32731456 57280048 114560096 229120192