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228134424 = 233717232151
BaseRepresentation
bin11011001100100…
…00111000011000
3120220021102121010
431212100320120
5431400300144
634345413520
75440052640
oct1546207030
9526242533
10228134424
11107859851
126449a2a0
13383580ab
1422427520
15150655b9
hexd990e18

228134424 has 192 divisors, whose sum is σ = 726243840. Its totient is φ = 58291200.

The previous prime is 228134377. The next prime is 228134443. The reversal of 228134424 is 424431822.

228134424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 228134391 and 228134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510749 + ... + 1510899.

It is an arithmetic number, because the mean of its divisors is an integer number (3782520).

Almost surely, 2228134424 is an apocalyptic number.

228134424 is a gapful number since it is divisible by the number (24) 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 228134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363121920).

228134424 is an abundant number, since it is smaller than the sum of its proper divisors (498109416).

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

228134424 is a wasteful number, since it uses less digits than its factorization.

228134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 228134424 is about 15104.1194380871. The cubic root of 228134424 is about 611.0315110230.

The spelling of 228134424 in words is "two hundred twenty-eight million, one hundred thirty-four thousand, four hundred twenty-four".