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133223230200 = 233521733433907
BaseRepresentation
bin111110000010010111…
…0010010101011111000
3110201212120000022020010
41330010232102223320
54140320121331300
6141111340101520
712424252525644
oct1740456225370
9421776008203
10133223230200
1151555049745
12219a02348a0
13c7418b7b38
14663b5bdc24
1536eaceea50
hex1f04b92af8

133223230200 has 192 divisors, whose sum is σ = 437528424960. Its totient is φ = 33417861120.

The previous prime is 133223230199. The next prime is 133223230219. The reversal of 133223230200 is 2032322331.

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 47 ways as a sum of consecutive naturals, for example, 34096647 + ... + 34100553.

It is an arithmetic number, because the mean of its divisors is an integer number (2278793880).

Almost surely, 2133223230200 is an apocalyptic number.

133223230200 is a gapful number since it is divisible by the number (10) 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 133223230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218764212480).

133223230200 is an abundant number, since it is smaller than the sum of its proper divisors (304305194760).

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

133223230200 is a wasteful number, since it uses less digits than its factorization.

133223230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 133223230200 its reverse (2032322331), we get a palindrome (135255552531).

The spelling of 133223230200 in words is "one hundred thirty-three billion, two hundred twenty-three million, two hundred thirty thousand, two hundred".