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233232000000 = 21035643113
BaseRepresentation
bin1101100100110110110…
…1011110010000000000
3211022000100011012101020
43121031231132100000
512310124343000000
6255051215105440
722564464201246
oct3311555362000
9738010135336
10233232000000
118aa0542470a
1239250b12280
1318cbc1781bc
14b407884796
156100bbcba0
hex364db5e400

233232000000 has 616 divisors, whose sum is σ = 802157857248. Its totient is φ = 60211200000.

The previous prime is 233231999911. The next prime is 233232000041. The reversal of 233232000000 is 232332.

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 55 ways as a sum of consecutive naturals, for example, 2063999944 + ... + 2064000056.

Almost surely, 2233232000000 is an apocalyptic number.

233232000000 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 233232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401078928624).

233232000000 is an abundant number, since it is smaller than the sum of its proper divisors (568925857248).

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

233232000000 is an frugal number, since it uses more digits than its factorization.

233232000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 166 counting only the distinct ones).

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

Adding to 233232000000 its reverse (232332), we get a palindrome (233232232332).

The spelling of 233232000000 in words is "two hundred thirty-three billion, two hundred thirty-two million", and thus it is an aban number.