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229666880 = 2653132293
BaseRepresentation
bin11011011000001…
…11000001000000
3121000011021201202
431230013001000
5432243320010
634442320332
75456064512
oct1554070100
9530137652
10229666880
11108706143
1264ab90a8
1338773781
1422705bb2
15152696a5
hexdb07040

229666880 has 56 divisors (see below), whose sum is σ = 548880792. Its totient is φ = 91533312.

The previous prime is 229666873. The next prime is 229666883. The reversal of 229666880 is 88666922.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 225240064 = 2104^2 + 15008^2 .

It is not an unprimeable number, because it can be changed into a prime (229666883) 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, 99014 + ... + 101306.

Almost surely, 2229666880 is an apocalyptic number.

229666880 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 229666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274440396).

229666880 is an abundant number, since it is smaller than the sum of its proper divisors (319213912).

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

229666880 is a wasteful number, since it uses less digits than its factorization.

229666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 229666880 is about 15154.7642673847. The cubic root of 229666880 is about 612.3966272859.

The spelling of 229666880 in words is "two hundred twenty-nine million, six hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 313 320 626 1252 1565 2293 2504 3130 4586 5008 6260 9172 10016 11465 12520 18344 20032 22930 25040 36688 45860 50080 73376 91720 100160 146752 183440 366880 717709 733760 1435418 2870836 3588545 5741672 7177090 11483344 14354180 22966688 28708360 45933376 57416720 114833440 229666880