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234533200000 = 275511151353
BaseRepresentation
bin1101101001101101000…
…1001010000010000000
3211102101000121000012211
43122123101022002000
512320310444400000
6255424300231504
722641644210251
oct3323321120200
9742330530184
10234533200000
1190512971510
123955483b594
1319168913428
14b4cc5d8b28
15617a0487ba
hex369b44a080

234533200000 has 384 divisors, whose sum is σ = 643132586880. Its totient is φ = 84480000000.

The previous prime is 234533199959. The next prime is 234533200003. The reversal of 234533200000 is 2335432.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (234533200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664399824 + ... + 664400176.

It is an arithmetic number, because the mean of its divisors is an integer number (1674824445).

Almost surely, 2234533200000 is an apocalyptic number.

234533200000 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 234533200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321566293440).

234533200000 is an abundant number, since it is smaller than the sum of its proper divisors (408599386880).

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

234533200000 is an equidigital number, since it uses as much as digits as its factorization.

234533200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

Adding to 234533200000 its reverse (2335432), we get a palindrome (234535535432).

The spelling of 234533200000 in words is "two hundred thirty-four billion, five hundred thirty-three million, two hundred thousand".