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229729500 = 2233537111317
BaseRepresentation
bin11011011000101…
…10010011011100
3121000021110122000
431230112103130
5432302321000
634443522300
75456445210
oct1554262334
9530243560
10229729500
111087491a0
1264b29390
1338796120
1422720940
151527d000
hexdb164dc

229729500 has 768 divisors, whose sum is σ = 1056706560. Its totient is φ = 41472000.

The previous prime is 229729481. The next prime is 229729501. The reversal of 229729500 is 5927922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229729501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13513492 + ... + 13513508.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2229729500 is an apocalyptic number.

229729500 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 229729500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

229729500 is an abundant number, since it is smaller than the sum of its proper divisors (826977060).

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

229729500 is a wasteful number, since it uses less digits than its factorization.

229729500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 229729500 is about 15156.8301435359. The cubic root of 229729500 is about 612.4522800529.

The spelling of 229729500 in words is "two hundred twenty-nine million, seven hundred twenty-nine thousand, five hundred".