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229714128 = 24327281811
BaseRepresentation
bin11011011000100…
…10100011010000
3121000020200112200
431230102203100
5432301323003
634443323200
75456352330
oct1554224320
9530220480
10229714128
11108738696
1264b20500
133878c127
14227190c0
15152786a3
hexdb128d0

229714128 has 120 divisors (see below), whose sum is σ = 738244416. Its totient is φ = 65318400.

The previous prime is 229714117. The next prime is 229714129. The reversal of 229714128 is 821417922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 229714092 and 229714101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229714129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282843 + ... + 283653.

Almost surely, 2229714128 is an apocalyptic number.

229714128 is a gapful number since it is divisible by the number (28) 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 229714128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369122208).

229714128 is an abundant number, since it is smaller than the sum of its proper divisors (508530288).

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

229714128 is a wasteful number, since it uses less digits than its factorization.

229714128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 229714128 is about 15156.3230369374. The cubic root of 229714128 is about 612.4386193107.

The spelling of 229714128 in words is "two hundred twenty-nine million, seven hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 281 336 504 562 811 843 1008 1124 1622 1686 1967 2248 2433 2529 3244 3372 3934 4496 4866 5058 5677 5901 6488 6744 7299 7868 9732 10116 11354 11802 12976 13488 14598 15736 17031 17703 19464 20232 22708 23604 29196 31472 34062 35406 38928 40464 45416 47208 51093 58392 68124 70812 90832 94416 102186 116784 136248 141624 204372 227891 272496 283248 408744 455782 683673 817488 911564 1367346 1595237 1823128 2051019 2734692 3190474 3646256 4102038 4785711 5469384 6380948 8204076 9571422 10938768 12761896 14357133 16408152 19142844 25523792 28714266 32816304 38285688 57428532 76571376 114857064 229714128