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228400542 = 232174715881
BaseRepresentation
bin11011001110100…
…01110110011110
3120220202221122100
431213101312132
5431432304132
634355225530
75442241536
oct1547216636
9526687570
10228400542
11107a20787
12645a82a6
133841c266
14224964c6
15150b937c
hexd9d1d9e

228400542 has 48 divisors (see below), whose sum is σ = 535159872. Its totient is φ = 70126080.

The previous prime is 228400541. The next prime is 228400547. The reversal of 228400542 is 245004822.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228400541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6442 + ... + 22322.

It is an arithmetic number, because the mean of its divisors is an integer number (11149164).

Almost surely, 2228400542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228400542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267579936).

228400542 is an abundant number, since it is smaller than the sum of its proper divisors (306759330).

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

228400542 is a wasteful number, since it uses less digits than its factorization.

228400542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15953 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 228400542 is about 15112.9263215302. The cubic root of 228400542 is about 611.2690074007.

The spelling of 228400542 in words is "two hundred twenty-eight million, four hundred thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 1598 2397 4794 7191 14382 15881 31762 47643 95286 142929 269977 285858 539954 746407 809931 1492814 1619862 2239221 2429793 4478442 4859586 6717663 12688919 13435326 25377838 38066757 76133514 114200271 228400542