Search a number
-
+
230122212000 = 2535336752253
BaseRepresentation
bin1101011001010001011…
…0100100101010100000
3210222222121112121012220
43112110112210222200
512232242241241000
6253414445351040
722424433346032
oct3262426445240
9728877477186
10230122212000
1189659a9798a
1238723568480
1318914b03c65
14b1d085dc52
155ebcb8e1a0
hex35945a4aa0

230122212000 has 192 divisors, whose sum is σ = 755949003264. Its totient is φ = 61197542400.

The previous prime is 230122211987. The next prime is 230122212029. The reversal of 230122212000 is 212221032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4377874 + ... + 4430126.

It is an arithmetic number, because the mean of its divisors is an integer number (3937234392).

Almost surely, 2230122212000 is an apocalyptic number.

230122212000 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 230122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377974501632).

230122212000 is an abundant number, since it is smaller than the sum of its proper divisors (525826791264).

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

230122212000 is a wasteful number, since it uses less digits than its factorization.

230122212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52648 (or 52630 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 230122212000 its reverse (212221032), we get a palindrome (230334433032).

The spelling of 230122212000 in words is "two hundred thirty billion, one hundred twenty-two million, two hundred twelve thousand".