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230220012231000 = 2332531119493124821
BaseRepresentation
bin110100010110001001000110…
…000011001001100101011000
31010012010211002111011011120200
4310112021012003021211120
5220133411041112343000
62133345340310222200
766330563343065601
oct6426110603114530
91105124074134520
10230220012231000
116739a839098990
12219a2220354960
139b5c866ab80ac
1440bc9cac3cda8
151b9383e172500
hexd162460c9958

230220012231000 has 768 divisors, whose sum is σ = 893779296883200. Its totient is φ = 52860643200000.

The previous prime is 230220012230969. The next prime is 230220012231007. The reversal of 230220012231000 is 132210022032.

230220012231000 is a `hidden beast` number, since 2 + 30 + 2 + 200 + 122 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×2302200122310002 (a number of 30 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 not an unprimeable number, because it can be changed into a prime (230220012231007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 9275198590 + ... + 9275223410.

It is an arithmetic number, because the mean of its divisors is an integer number (1163775126150).

Almost surely, 2230220012231000 is an apocalyptic number.

230220012231000 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 230220012231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446889648441600).

230220012231000 is an abundant number, since it is smaller than the sum of its proper divisors (663559284652200).

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

230220012231000 is a wasteful number, since it uses less digits than its factorization.

230220012231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29809 (or 29792 counting only the distinct ones).

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

Adding to 230220012231000 its reverse (132210022032), we get a palindrome (230352222253032).

The spelling of 230220012231000 in words is "two hundred thirty trillion, two hundred twenty billion, twelve million, two hundred thirty-one thousand".