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234020075520 = 211357111941127
BaseRepresentation
bin1101100111110010101…
…1101111100000000000
3211101001021001120202110
43121330223233200000
512313233114404040
6255301330215320
722623143551440
oct3317453574000
9741037046673
10234020075520
119027a2604a0
1239430a24540
13190b651458a
14b4803c8120
156149e8b980
hex367caef800

234020075520 has 1536 divisors, whose sum is σ = 1014438297600. Its totient is φ = 44590694400.

The previous prime is 234020075441. The next prime is 234020075537. The reversal of 234020075520 is 25570020432.

234020075520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1842677697 + ... + 1842677823.

It is an arithmetic number, because the mean of its divisors is an integer number (660441600).

Almost surely, 2234020075520 is an apocalyptic number.

234020075520 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 234020075520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507219148800).

234020075520 is an abundant number, since it is smaller than the sum of its proper divisors (780418222080).

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

234020075520 is a wasteful number, since it uses less digits than its factorization.

234020075520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

Adding to 234020075520 its reverse (25570020432), we get a palindrome (259590095952).

The spelling of 234020075520 in words is "two hundred thirty-four billion, twenty million, seventy-five thousand, five hundred twenty".