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235234234200 = 233527238329339
BaseRepresentation
bin1101101100010100001…
…1011000111101011000
3211111011212201020100110
43123011003120331120
512323224430443300
6300022022004320
722665215666610
oct3330503307530
9744155636313
10235234234200
1190842657919
123970b5766a0
131924ac25474
14b557761a40
1561bb872550
hex36c50d8f58

235234234200 has 384 divisors, whose sum is σ = 880143667200. Its totient is φ = 50808721920.

The previous prime is 235234234199. The next prime is 235234234217. The reversal of 235234234200 is 2432432532.

It is a happy number.

235234234200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 8003131 + ... + 8032469.

It is an arithmetic number, because the mean of its divisors is an integer number (2292040800).

Almost surely, 2235234234200 is an apocalyptic number.

235234234200 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 235234234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440071833600).

235234234200 is an abundant number, since it is smaller than the sum of its proper divisors (644909433000).

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

235234234200 is a wasteful number, since it uses less digits than its factorization.

235234234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29471 (or 29462 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 235234234200 its reverse (2432432532), we get a palindrome (237666666732).

The spelling of 235234234200 in words is "two hundred thirty-five billion, two hundred thirty-four million, two hundred thirty-four thousand, two hundred".