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229110120 = 23310597
BaseRepresentation
bin11011010011111…
…11000101101000
3120222010000000000
431221333011220
5432123010440
634422343000
75451255351
oct1551770550
9528100000
10229110120
11108365908
126488aa60
133860a225
14225dcd28
15151a9730
hexda7f168

229110120 has 176 divisors, whose sum is σ = 781213860. Its totient is φ = 60466176.

The previous prime is 229110067. The next prime is 229110127. The reversal of 229110120 is 21011922.

It can be written as a sum of positive squares in 2 ways, for example, as 226984356 + 2125764 = 15066^2 + 1458^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 229110093 and 229110102.

It is not an unprimeable number, because it can be changed into a prime (229110127) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2361912 + ... + 2362008.

Almost surely, 2229110120 is an apocalyptic number.

229110120 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 229110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390606930).

229110120 is an abundant number, since it is smaller than the sum of its proper divisors (552103740).

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

229110120 is an frugal number, since it uses more digits than its factorization.

229110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 229110120 is about 15136.3839803303. The cubic root of 229110120 is about 611.9013681881.

The spelling of 229110120 in words is "two hundred twenty-nine million, one hundred ten thousand, one hundred twenty".