Search a number
-
+
229457280 = 27351329317
BaseRepresentation
bin11011010110100…
…11110110000000
3120222202122012210
431223103312000
5432220113110
634434022120
75454232443
oct1553236600
9528678183
10229457280
11108582718
1264a17940
13386cc250
142268d65a
1515227520
hexdad3d80

229457280 has 256 divisors, whose sum is σ = 817387200. Its totient is φ = 54362112.

The previous prime is 229457273. The next prime is 229457287. The reversal of 229457280 is 82754922.

229457280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229457273) and next prime (229457287).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229457287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723682 + ... + 723998.

Almost surely, 2229457280 is an apocalyptic number.

229457280 is a gapful number since it is divisible by the number (20) 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 229457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408693600).

229457280 is an abundant number, since it is smaller than the sum of its proper divisors (587929920).

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

229457280 is a wasteful number, since it uses less digits than its factorization.

229457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 229457280 is about 15147.8473718215. The cubic root of 229457280 is about 612.2102741926.

The spelling of 229457280 in words is "two hundred twenty-nine million, four hundred fifty-seven thousand, two hundred eighty".