Search a number
-
+
229688768 = 26171071973
BaseRepresentation
bin11011011000011…
…00010111000000
3121000012101202102
431230030113000
5432300020033
634443005532
75456215361
oct1554142700
9530171672
10229688768
11108720631
1264b098a8
133878071a
142270db68
1515270de8
hexdb0c5c0

229688768 has 56 divisors (see below), whose sum is σ = 487356912. Its totient is φ = 107024384.

The previous prime is 229688761. The next prime is 229688779. The reversal of 229688768 is 867886922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229688761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115430 + ... + 117402.

It is an arithmetic number, because the mean of its divisors is an integer number (8702802).

Almost surely, 2229688768 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 229688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243678456).

229688768 is an abundant number, since it is smaller than the sum of its proper divisors (257668144).

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

229688768 is a wasteful number, since it uses less digits than its factorization.

229688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2099 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 56.

The square root of 229688768 is about 15155.4863993209. The cubic root of 229688768 is about 612.4160811308.

The spelling of 229688768 in words is "two hundred twenty-nine million, six hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 136 214 272 428 544 856 1088 1712 1819 1973 3424 3638 3946 6848 7276 7892 14552 15784 29104 31568 33541 58208 63136 67082 116416 126272 134164 211111 268328 422222 536656 844444 1073312 1688888 2146624 3377776 3588887 6755552 7177774 13511104 14355548 28711096 57422192 114844384 229688768