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232244133000 = 233531122327817
BaseRepresentation
bin1101100001001011010…
…1000011110010001000
3211012110111022100121120
43120102311003302020
512301113444224000
6254405205435240
722531140362445
oct3302265036210
9735414270546
10232244133000
118a548838600
123901610bb20
1318b925c8709
14b3525b49cc
1560940d66a0
hex3612d43c88

232244133000 has 384 divisors, whose sum is σ = 831121724160. Its totient is φ = 53851776000.

The previous prime is 232244132959. The next prime is 232244133001. The reversal of 232244133000 is 331442232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (232244133001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8335092 + ... + 8362908.

It is an arithmetic number, because the mean of its divisors is an integer number (2164379490).

Almost surely, 2232244133000 is an apocalyptic number.

232244133000 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 232244133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415560862080).

232244133000 is an abundant number, since it is smaller than the sum of its proper divisors (598877591160).

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

232244133000 is a wasteful number, since it uses less digits than its factorization.

232244133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27886 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232244133000 its reverse (331442232), we get a palindrome (232575575232).

The spelling of 232244133000 in words is "two hundred thirty-two billion, two hundred forty-four million, one hundred thirty-three thousand".