Search a number
-
+
232031222033000 = 2353133743103108917
BaseRepresentation
bin110100110000011111111010…
…100100001110101001101000
31010102112222010210221021112012
4310300133322210032221220
5220403044420320024000
62141253401042135052
766605462662303265
oct6460377244165150
91112488123837465
10232031222033000
1167a28985883745
1222035256951488
139c615b1564620
14414252a2d226c
151bc59e7dad735
hexd307fa90ea68

232031222033000 has 512 divisors, whose sum is σ = 620459107107840. Its totient is φ = 80627813683200.

The previous prime is 232031222032949. The next prime is 232031222033057. The reversal of 232031222033000 is 330222130232.

232031222033000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2130294542 + ... + 2130403458.

It is an arithmetic number, because the mean of its divisors is an integer number (1211834193570).

Almost surely, 2232031222033000 is an apocalyptic number.

232031222033000 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 232031222033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310229553553920).

232031222033000 is an abundant number, since it is smaller than the sum of its proper divisors (388427885074840).

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

232031222033000 is a wasteful number, since it uses less digits than its factorization.

232031222033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109134 (or 109120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 232031222033000 its reverse (330222130232), we get a palindrome (232361444163232).

The spelling of 232031222033000 in words is "two hundred thirty-two trillion, thirty-one billion, two hundred twenty-two million, thirty-three thousand".