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230193223740 = 223251278851243
BaseRepresentation
bin1101011001100010010…
…1011101100000111100
3211000011120011101000100
43112120211131200330
512232413431124430
6253425503401100
722426255055244
oct3263045354074
9730146141010
10230193223740
118969608a077
12387432b3190
131892673813c
14b1da066b24
155ec4019960
hex359895d83c

230193223740 has 36 divisors (see below), whose sum is σ = 698252779224. Its totient is φ = 61384859616.

The previous prime is 230193223721. The next prime is 230193223801. The reversal of 230193223740 is 47322391032.

230193223740 is a `hidden beast` number, since 2 + 301 + 93 + 223 + 7 + 40 = 666.

230193223740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 230193223695 and 230193223704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639425442 + ... + 639425801.

It is an arithmetic number, because the mean of its divisors is an integer number (19395910534).

Almost surely, 2230193223740 is an apocalyptic number.

230193223740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230193223740 is an abundant number, since it is smaller than the sum of its proper divisors (468059555484).

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

230193223740 is a wasteful number, since it uses less digits than its factorization.

230193223740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278851258 (or 1278851253 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 230193223740 in words is "two hundred thirty billion, one hundred ninety-three million, two hundred twenty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1278851243 2557702486 3836553729 5115404972 6394256215 7673107458 11509661187 12788512430 15346214916 19182768645 23019322374 25577024860 38365537290 46038644748 57548305935 76731074580 115096611870 230193223740