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234542221056 = 283411131923181
BaseRepresentation
bin1101101001101111001…
…1100100011100000000
3211102101122120022210000
43122123303210130000
512320320302033211
6255425221440000
722642113661563
oct3323363443400
9742348508700
10234542221056
1190517a73130
1239557870000
131916a751530
14b4cd8a64da
15617ac2b656
hex369bce4700

234542221056 has 1440 divisors, whose sum is σ = 907461434880. Its totient is φ = 59122483200.

The previous prime is 234542221021. The next prime is 234542221073. The reversal of 234542221056 is 650122245432.

234542221056 is a `hidden beast` number, since 2 + 3 + 4 + 542 + 2 + 2 + 105 + 6 = 666.

234542221056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234542221056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1295813286 + ... + 1295813466.

It is an arithmetic number, because the mean of its divisors is an integer number (630181552).

Almost surely, 2234542221056 is an apocalyptic number.

234542221056 is a gapful number since it is divisible by the number (26) 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 234542221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453730717440).

234542221056 is an abundant number, since it is smaller than the sum of its proper divisors (672919213824).

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

234542221056 is a wasteful number, since it uses less digits than its factorization.

234542221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 234542221056 its reverse (650122245432), we get a palindrome (884664466488).

The spelling of 234542221056 in words is "two hundred thirty-four billion, five hundred forty-two million, two hundred twenty-one thousand, fifty-six".