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230133031200 = 25335219560753
BaseRepresentation
bin1101011001010011111…
…1110110000100100000
3211000000100220021101000
43112110333312010200
512232303023444300
6253415513312000
722424624326632
oct3262477660440
9730010807330
10230133031200
1189665107576
1238727105600
1318917121657
14b1d2078a52
155ebdac9c00
hex3594ff6120

230133031200 has 288 divisors, whose sum is σ = 876122049600. Its totient is φ = 58138767360.

The previous prime is 230133031189. The next prime is 230133031253. The reversal of 230133031200 is 2130331032.

230133031200 is a `hidden beast` number, since 2 + 301 + 330 + 31 + 2 + 0 + 0 = 666.

230133031200 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 (288).

It is a super-2 number, since 2×2301330312002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 130024 + ... + 690776.

It is an arithmetic number, because the mean of its divisors is an integer number (3042090450).

Almost surely, 2230133031200 is an apocalyptic number.

230133031200 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 230133031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438061024800).

230133031200 is an abundant number, since it is smaller than the sum of its proper divisors (645989018400).

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

230133031200 is a wasteful number, since it uses less digits than its factorization.

230133031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560801 (or 560782 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230133031200 its reverse (2130331032), we get a palindrome (232263362232).

The spelling of 230133031200 in words is "two hundred thirty billion, one hundred thirty-three million, thirty-one thousand, two hundred".