Search a number
-
+
228894952 = 231113215391
BaseRepresentation
bin11011010010010…
…10100011101000
3120221201001211211
431221022203220
5432044114302
634414002504
75446401136
oct1551124350
9527631754
10228894952
11108229190
12647a6434
1338563300
1422584756
1515165ad7
hexda4a8e8

228894952 has 48 divisors (see below), whose sum is σ = 507012480. Its totient is φ = 96033600.

The previous prime is 228894937. The next prime is 228894959. The reversal of 228894952 is 259498822.

It is a junction number, because it is equal to n+sod(n) for n = 228894896 and 228894905.

It is not an unprimeable number, because it can be changed into a prime (228894959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7177 + ... + 22567.

It is an arithmetic number, because the mean of its divisors is an integer number (10562760).

Almost surely, 2228894952 is an apocalyptic number.

228894952 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 228894952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253506240).

228894952 is an abundant number, since it is smaller than the sum of its proper divisors (278117528).

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

228894952 is a wasteful number, since it uses less digits than its factorization.

228894952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15434 (or 15417 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

The square root of 228894952 is about 15129.2746686680. The cubic root of 228894952 is about 611.7097531522.

The spelling of 228894952 in words is "two hundred twenty-eight million, eight hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 169 286 338 572 676 1144 1352 1859 3718 7436 14872 15391 30782 61564 123128 169301 200083 338602 400166 677204 800332 1354408 1600664 2200913 2601079 4401826 5202158 8803652 10404316 17607304 20808632 28611869 57223738 114447476 228894952