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229132880 = 24525111411
BaseRepresentation
bin11011010100001…
…00101001010000
3120222011011012222
431222010221100
5432124223010
634423040212
75451411614
oct1552045120
9528134188
10229132880
11108380a19
12648a0068
13386176b2
1422607344
15151b1355
hexda84a50

229132880 has 40 divisors (see below), whose sum is σ = 534903264. Its totient is φ = 91280000.

The previous prime is 229132861. The next prime is 229132889. The reversal of 229132880 is 88231922.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 229132880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229132889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14375 + ... + 25785.

Almost surely, 2229132880 is an apocalyptic number.

229132880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229132880 is an abundant number, since it is smaller than the sum of its proper divisors (305770384).

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

229132880 is a wasteful number, since it uses less digits than its factorization.

229132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 229132880 is about 15137.1357924807. The cubic root of 229132880 is about 611.9216297898.

The spelling of 229132880 in words is "two hundred twenty-nine million, one hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 11411 20080 22822 45644 57055 91288 114110 182576 228220 456440 912880 2864161 5728322 11456644 14320805 22913288 28641610 45826576 57283220 114566440 229132880