Search a number
-
+
228137868 = 223271735233
BaseRepresentation
bin11011001100100…
…01101110001100
3120220021121022200
431212101232030
5431400402433
634345441500
75440065660
oct1546215614
9526247280
10228137868
111078613a2
12644a0290
133835982a
14224288a0
1515066613
hexd991b8c

228137868 has 72 divisors (see below), whose sum is σ = 663001248. Its totient is φ = 64793088.

The previous prime is 228137863. The next prime is 228137869. The reversal of 228137868 is 868731822.

228137868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228137863) 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, 40980 + ... + 46212.

Almost surely, 2228137868 is an apocalyptic number.

228137868 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 228137868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331500624).

228137868 is an abundant number, since it is smaller than the sum of its proper divisors (434863380).

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

228137868 is a wasteful number, since it uses less digits than its factorization.

228137868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5418 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 228137868 is about 15104.2334462892. The cubic root of 228137868 is about 611.0345857920.

The spelling of 228137868 in words is "two hundred twenty-eight million, one hundred thirty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2422 3114 3633 4844 5233 6228 7266 10466 10899 14532 15699 20932 21798 31398 36631 43596 47097 62796 73262 94194 109893 146524 188388 219786 329679 439572 659358 905309 1318716 1810618 2715927 3621236 5431854 6337163 8147781 10863708 12674326 16295562 19011489 25348652 32591124 38022978 57034467 76045956 114068934 228137868