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230231322000 = 243653198311
BaseRepresentation
bin1101011001101011011…
…0110010110110010000
3211000021012211222000000
43112122312302312100
512233003204301000
6253433344130000
722430226643011
oct3263266626620
9730235758000
10230231322000
1189705640939
1238754006900
13189315b71a4
14b201143008
155ec7543000
hex359adb2d90

230231322000 has 560 divisors, whose sum is σ = 878702747520. Its totient is φ = 58156704000.

The previous prime is 230231321993. The next prime is 230231322029. The reversal of 230231322000 is 223132032.

It is a happy number.

230231322000 is a `hidden beast` number, since 230 + 231 + 3 + 2 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27697845 + ... + 27706155.

Almost surely, 2230231322000 is an apocalyptic number.

230231322000 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 230231322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439351373760).

230231322000 is an abundant number, since it is smaller than the sum of its proper divisors (648471425520).

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

230231322000 is an equidigital number, since it uses as much as digits as its factorization.

230231322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230231322000 its reverse (223132032), we get a palindrome (230454454032).

The spelling of 230231322000 in words is "two hundred thirty billion, two hundred thirty-one million, three hundred twenty-two thousand".