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228125632 = 2672711879
BaseRepresentation
bin11011001100011…
…10101111000000
3120220020222112111
431212032233000
5431400010012
634345305104
75440015210
oct1546165700
9526228474
10228125632
11107853189
1264495194
13383540a7
1422424240
1515062ba7
hexd98ebc0

228125632 has 56 divisors (see below), whose sum is σ = 519541760. Its totient is φ = 97355520.

The previous prime is 228125603. The next prime is 228125633. The reversal of 228125632 is 236521822.

228125632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 228125594 and 228125603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228125633) 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, 120469 + ... + 122347.

Almost surely, 2228125632 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 228125632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259770880).

228125632 is an abundant number, since it is smaller than the sum of its proper divisors (291416128).

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

228125632 is a wasteful number, since it uses less digits than its factorization.

228125632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2159 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 228125632 is about 15103.8283888556. The cubic root of 228125632 is about 611.0236614725.

The spelling of 228125632 in words is "two hundred twenty-eight million, one hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1879 1897 2168 3758 3794 4336 7516 7588 8672 13153 15032 15176 17344 26306 30064 30352 52612 60128 60704 105224 120256 121408 210448 420896 509209 841792 1018418 2036836 3564463 4073672 7128926 8147344 14257852 16294688 28515704 32589376 57031408 114062816 228125632