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23232033000 = 23325311613847
BaseRepresentation
bin10101101000101111…
…001011000011101000
32012222002011120000200
4111220233023003220
5340034400024000
614401143032200
71451466010431
oct255057130350
965862146020
1023232033000
119941971280
12460443b660
1322631808b7
1411a564c488
1590e895500
hex568bcb0e8

23232033000 has 384 divisors, whose sum is σ = 87089783040. Its totient is φ = 5538240000.

The previous prime is 23232032981. The next prime is 23232033007. The reversal of 23232033000 is 33023232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23232033007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6037077 + ... + 6040923.

It is an arithmetic number, because the mean of its divisors is an integer number (226796310).

Almost surely, 223232033000 is an apocalyptic number.

23232033000 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 23232033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43544891520).

23232033000 is an abundant number, since it is smaller than the sum of its proper divisors (63857750040).

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

23232033000 is a wasteful number, since it uses less digits than its factorization.

23232033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23232033000 its reverse (33023232), we get a palindrome (23265056232).

The spelling of 23232033000 in words is "twenty-three billion, two hundred thirty-two million, thirty-three thousand".