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55413523222200 = 23325211131075413719
BaseRepresentation
bin11001001100101111101110…
…10111100000111010111000
321021012110222201011121221100
430212113313113200322320
524230343343421102300
6313504342055411400
714446331522525133
oct1446276727407270
9237173881147840
1055413523222200
111672481a25aa40
12626b618983b60
1324bc61ba202b0
14d9805919b21a
156616760d0700
hex3265f75e0eb8

55413523222200 has 1152 divisors, whose sum is σ = 221142170995200. Its totient is φ = 12258335232000.

The previous prime is 55413523222157. The next prime is 55413523222229. The reversal of 55413523222200 is 222232531455.

It is a happy number.

55413523222200 is a `hidden beast` number, since 5 + 5 + 413 + 5 + 2 + 32 + 2 + 2 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14900111941 + ... + 14900115659.

It is an arithmetic number, because the mean of its divisors is an integer number (191963690100).

Almost surely, 255413523222200 is an apocalyptic number.

55413523222200 is a gapful number since it is divisible by the number (50) 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 55413523222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110571085497600).

55413523222200 is an abundant number, since it is smaller than the sum of its proper divisors (165728647773000).

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

55413523222200 is a wasteful number, since it uses less digits than its factorization.

55413523222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 55413523222200 its reverse (222232531455), we get a palindrome (55635755753655).

The spelling of 55413523222200 in words is "fifty-five trillion, four hundred thirteen billion, five hundred twenty-three million, two hundred twenty-two thousand, two hundred".