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230575220100 = 2232521983162457
BaseRepresentation
bin1101011010111101011…
…0101010010110000100
3211001011011221210111200
43112233112222112010
512234204224020400
6253531431102500
722441604014251
oct3265726522604
9731134853450
10230575220100
1189871778645
123882b211a30
1318987914ba4
14b234aa2428
155ee7823b00
hex35af5aa584

230575220100 has 216 divisors, whose sum is σ = 769933950240. Its totient is φ = 57548413440.

The previous prime is 230575220069. The next prime is 230575220123. The reversal of 230575220100 is 1022575032.

230575220100 is a `hidden beast` number, since 2 + 30 + 5 + 7 + 522 + 0 + 100 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338072 + ... + 1500528.

Almost surely, 2230575220100 is an apocalyptic number.

230575220100 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 230575220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384966975120).

230575220100 is an abundant number, since it is smaller than the sum of its proper divisors (539358730140).

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

230575220100 is a wasteful number, since it uses less digits than its factorization.

230575220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162579 (or 162569 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 230575220100 its reverse (1022575032), we get a palindrome (231597795132).

The spelling of 230575220100 in words is "two hundred thirty billion, five hundred seventy-five million, two hundred twenty thousand, one hundred".