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229910100 = 223527109481
BaseRepresentation
bin11011011010000…
…10011001010100
3121000121122100220
431231002121110
5432324110400
634451434340
75461126560
oct1555023124
9530548326
10229910100
11108861952
1264bb59b0
133882a3a4
142276a6a0
15152b67a0
hexdb42654

229910100 has 72 divisors (see below), whose sum is σ = 760243008. Its totient is φ = 52550400.

The previous prime is 229910099. The next prime is 229910137. The reversal of 229910100 is 1019922.

229910100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52641 + ... + 56840.

Almost surely, 2229910100 is an apocalyptic number.

229910100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229910100 is an abundant number, since it is smaller than the sum of its proper divisors (530332908).

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

229910100 is a wasteful number, since it uses less digits than its factorization.

229910100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109505 (or 109498 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 229910100 is about 15162.7866831925. The cubic root of 229910100 is about 612.6127294940.

The spelling of 229910100 in words is "two hundred twenty-nine million, nine hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 109481 218962 328443 437924 547405 656886 766367 1094810 1313772 1532734 1642215 2189620 2299101 2737025 3065468 3284430 3831835 4598202 5474050 6568860 7663670 8211075 9196404 10948100 11495505 15327340 16422150 19159175 22991010 32844300 38318350 45982020 57477525 76636700 114955050 229910100