Search a number
-
+
230133222000 = 243253113673167
BaseRepresentation
bin1101011001010100000…
…0100100101001110000
3211000000101020222002200
43112111000210221300
512232303101101000
6253415521343200
722424626053123
oct3262500445160
9730011228080
10230133222000
1189665227960
1238727197b00
131891718a456
14b1d20c83ba
155ebdb16500
hex3595024a70

230133222000 has 480 divisors, whose sum is σ = 879516278784. Its totient is φ = 55620288000.

The previous prime is 230133221999. The next prime is 230133222073. The reversal of 230133222000 is 222331032.

It is a happy number.

It is a super-2 number, since 2×2301332220002 (a number of 24 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72664417 + ... + 72667583.

Almost surely, 2230133222000 is an apocalyptic number.

230133222000 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 230133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439758139392).

230133222000 is an abundant number, since it is smaller than the sum of its proper divisors (649383056784).

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

230133222000 is a wasteful number, since it uses less digits than its factorization.

230133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 230133222000 its reverse (222331032), we get a palindrome (230355553032).

The spelling of 230133222000 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred twenty-two thousand".