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235441612000 = 2553747178907
BaseRepresentation
bin1101101101000101101…
…0011110010011100000
3211111201022221010012201
43123101122132103200
512324141023041000
6300054350502544
723003314452610
oct3332132362340
9744638833181
10235441612000
1190939719931
1239768b04a54
1319281b9391a
14b577104a40
1561ceb8796a
hex36d169e4e0

235441612000 has 192 divisors, whose sum is σ = 675190204416. Its totient is φ = 79004889600.

The previous prime is 235441611983. The next prime is 235441612009. The reversal of 235441612000 is 216144532.

235441612000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2354416120002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 235441612000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235441612009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226547 + ... + 1405453.

It is an arithmetic number, because the mean of its divisors is an integer number (3516615648).

Almost surely, 2235441612000 is an apocalyptic number.

235441612000 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 235441612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337595102208).

235441612000 is an abundant number, since it is smaller than the sum of its proper divisors (439748592416).

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

235441612000 is a wasteful number, since it uses less digits than its factorization.

235441612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178986 (or 178968 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 235441612000 its reverse (216144532), we get a palindrome (235657756532).

The spelling of 235441612000 in words is "two hundred thirty-five billion, four hundred forty-one million, six hundred twelve thousand".