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228143832 = 23373893491
BaseRepresentation
bin11011001100100…
…11001011011000
3120220021220111120
431212103023120
5431401100312
634345525240
75440122240
oct1546231330
9526256446
10228143832
11107865924
12644a3820
133835c467
142242ab20
151506828c
hexd9932d8

228143832 has 64 divisors (see below), whose sum is σ = 653702400. Its totient is φ = 64997760.

The previous prime is 228143827. The next prime is 228143833. The reversal of 228143832 is 238341822.

228143832 is digitally balanced in base 2, 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 = 228143793 and 228143802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228143833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63607 + ... + 67097.

It is an arithmetic number, because the mean of its divisors is an integer number (10214100).

Almost surely, 2228143832 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 228143832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326851200).

228143832 is an abundant number, since it is smaller than the sum of its proper divisors (425558568).

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

228143832 is a wasteful number, since it uses less digits than its factorization.

228143832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3892 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 228143832 is about 15104.4308730915. The cubic root of 228143832 is about 611.0399103187.

The spelling of 228143832 in words is "two hundred twenty-eight million, one hundred forty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 389 778 1167 1556 2334 2723 3112 3491 4668 5446 6982 8169 9336 10473 10892 13964 16338 20946 21784 24437 27928 32676 41892 48874 65352 73311 83784 97748 146622 195496 293244 586488 1357999 2715998 4073997 5431996 8147994 9505993 10863992 16295988 19011986 28517979 32591976 38023972 57035958 76047944 114071916 228143832