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230231331000 = 233253114354083
BaseRepresentation
bin1101011001101011011…
…0110101000010111000
3211000021012212102100100
43112122312311002320
512233003210043000
6253433344235400
722430230011156
oct3263266650270
9730235772310
10230231331000
1189705647680
123875400bb60
13189315bb308
14b2011463d6
155ec7545a00
hex359adb50b8

230231331000 has 384 divisors, whose sum is σ = 868684227840. Its totient is φ = 54514656000.

The previous prime is 230231330983. The next prime is 230231331047. The reversal of 230231331000 is 133132032.

230231331000 is a `hidden beast` number, since 2 + 302 + 31 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2302313310002 (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4229959 + ... + 4284041.

It is an arithmetic number, because the mean of its divisors is an integer number (2262198510).

Almost surely, 2230231331000 is an apocalyptic number.

230231331000 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 230231331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434342113920).

230231331000 is an abundant number, since it is smaller than the sum of its proper divisors (638452896840).

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

230231331000 is a wasteful number, since it uses less digits than its factorization.

230231331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54164 (or 54147 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230231331000 its reverse (133132032), we get a palindrome (230364463032).

The spelling of 230231331000 in words is "two hundred thirty billion, two hundred thirty-one million, three hundred thirty-one thousand".