Search a number
-
+
2032233000000 = 263567294771
BaseRepresentation
bin11101100100101010100…
…001101010110001000000
321012021112210220220110220
4131210222201222301000
5231244003122000000
64153332302023040
7266552425325010
oct35445241526100
97167483826426
102032233000000
11713957603865
12289a3a877a80
1311983c443438
14705096c5c40
1537ce2b911a0
hex1d92a86ac40

2032233000000 has 1568 divisors, whose sum is σ = 8229494661120. Its totient is φ = 432768000000.

The previous prime is 2032232999989. The next prime is 2032233000011. The reversal of 2032233000000 is 3322302.

It is an interprime number because it is at equal distance from previous prime (2032232999989) and next prime (2032233000011).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28622999965 + ... + 28623000035.

Almost surely, 22032233000000 is an apocalyptic number.

2032233000000 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 2032233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114747330560).

2032233000000 is an abundant number, since it is smaller than the sum of its proper divisors (6197261661120).

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

2032233000000 is an frugal number, since it uses more digits than its factorization.

2032233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 2032233000000 its reverse (3322302), we get a palindrome (2032236322302).

The spelling of 2032233000000 in words is "two trillion, thirty-two billion, two hundred thirty-three million", and thus it is an aban number.