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230231222100 = 2233521114395387
BaseRepresentation
bin1101011001101011011…
…0011010011101010100
3211000021012122212222000
43112122312122131110
512233003143101400
6253433342035300
722430226045525
oct3263266323524
9730235585860
10230231222100
1189705582880
1238753b78b30
1318931580889
14b20111884c
155ec7523600
hex359ad9a754

230231222100 has 288 divisors, whose sum is σ = 808148275200. Its totient is φ = 55764489600.

The previous prime is 230231222087. The next prime is 230231222129. The reversal of 230231222100 is 1222132032.

230231222100 is a `hidden beast` number, since 230 + 2 + 312 + 22 + 100 = 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 95 ways as a sum of consecutive naturals, for example, 42735607 + ... + 42740993.

It is an arithmetic number, because the mean of its divisors is an integer number (2806070400).

Almost surely, 2230231222100 is an apocalyptic number.

230231222100 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 230231222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404074137600).

230231222100 is an abundant number, since it is smaller than the sum of its proper divisors (577917053100).

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

230231222100 is a wasteful number, since it uses less digits than its factorization.

230231222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230231222100 its reverse (1222132032), we get a palindrome (231453354132).

The spelling of 230231222100 in words is "two hundred thirty billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred".