Search a number
-
+
228317232 = 2431113293137
BaseRepresentation
bin11011001101111…
…01100000110000
3120220121201100210
431212331200300
5431422122412
634353344120
75441443623
oct1546754060
9526551323
10228317232
11107974130
1264568040
13383c0370
1422473dba
151509e83c
hexd9bd830

228317232 has 320 divisors, whose sum is σ = 759951360. Its totient is φ = 58060800.

The previous prime is 228317231. The next prime is 228317237. The reversal of 228317232 is 232713822.

228317232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2283172323 (a number of 26 digits) contains 333 as substring.

Its product of digits (8064) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 228317232.

It is not an unprimeable number, because it can be changed into a prime (228317231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6170718 + ... + 6170754.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2228317232 is an apocalyptic number.

228317232 is a gapful number since it is divisible by the number (22) 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 228317232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379975680).

228317232 is an abundant number, since it is smaller than the sum of its proper divisors (531634128).

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

228317232 is a wasteful number, since it uses less digits than its factorization.

228317232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 228317232 is about 15110.1698203561. The cubic root of 228317232 is about 611.1946774342.

The spelling of 228317232 in words is "two hundred twenty-eight million, three hundred seventeen thousand, two hundred thirty-two".