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230190120 = 23335213139
BaseRepresentation
bin11011011100001…
…10110000101000
3121001010212111000
431232012300220
5432412040440
634501435000
75463404136
oct1556066050
9531125430
10230190120
11108a33276
126510ba60
13388c7994
1422800756
151531e730
hexdb86c28

230190120 has 64 divisors (see below), whose sum is σ = 767304000. Its totient is φ = 61383744.

The previous prime is 230190119. The next prime is 230190143. The reversal of 230190120 is 21091032.

It is a happy number.

It is a super-2 number, since 2×2301901202 = 105974982691228800, which contains 22 as substring.

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 = 230190093 and 230190102.

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 15 ways as a sum of consecutive naturals, for example, 105490 + ... + 107649.

It is an arithmetic number, because the mean of its divisors is an integer number (11989125).

Almost surely, 2230190120 is an apocalyptic number.

230190120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230190120 is an abundant number, since it is smaller than the sum of its proper divisors (537113880).

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

230190120 is a wasteful number, since it uses less digits than its factorization.

230190120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213159 (or 213149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 230190120 is about 15172.0176641078. The cubic root of 230190120 is about 612.8613400298.

The spelling of 230190120 in words is "two hundred thirty million, one hundred ninety thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 213139 426278 639417 852556 1065695 1278834 1705112 1918251 2131390 2557668 3197085 3836502 4262780 5115336 5754753 6394170 7673004 8525560 9591255 11509506 12788340 15346008 19182510 23019012 25576680 28773765 38365020 46038024 57547530 76730040 115095060 230190120