Search a number
-
+
233031202303230 = 233537593071287829
BaseRepresentation
bin110100111111000011001110…
…000010001110110011111110
31010120002120021011020022212000
4310333003032002032303332
5221020440400242200410
62143341020105523130
7100040643300330162
oct6477031602166376
91116076234208760
10233031202303230
1168283a83653341
12221770121a34a6
13a004995712a36
144178aadc80ca2
151be1a22a28dc0
hexd3f0ce08ecfe

233031202303230 has 256 divisors, whose sum is σ = 651143332224000. Its totient is φ = 59243714523648.

The previous prime is 233031202303157. The next prime is 233031202303307. The reversal of 233031202303230 is 32303202130332.

233031202303230 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 3 + 120 + 2 + 303 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233031202303194 and 233031202303203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180304956 + ... + 181592784.

It is an arithmetic number, because the mean of its divisors is an integer number (2543528641500).

Almost surely, 2233031202303230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233031202303230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325571666112000).

233031202303230 is an abundant number, since it is smaller than the sum of its proper divisors (418112129920770).

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

233031202303230 is a wasteful number, since it uses less digits than its factorization.

233031202303230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288248 (or 1288242 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 233031202303230 its reverse (32303202130332), we get a palindrome (265334404433562).

The spelling of 233031202303230 in words is "two hundred thirty-three trillion, thirty-one billion, two hundred two million, three hundred three thousand, two hundred thirty".