Search a number
-
+
229623832780800 = 2133521933758369
BaseRepresentation
bin110100001101011101110110…
…111111000010000000000000
31010010000211020201100011010220
4310031131312333002000000
5220044124102142441200
62132211422115423040
766236526431265663
oct6415356677020000
91103024221304126
10229623832780800
116718aa14361a67
1221906778bb4a80
139b1858583b753
14409bbd21596da
151b8309992e4a0
hexd0d776fc2000

229623832780800 has 672 divisors, whose sum is σ = 801588551150400. Its totient is φ = 57837103349760.

The previous prime is 229623832780789. The next prime is 229623832780847. The reversal of 229623832780800 is 8087238326922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3933974016 + ... + 3934032384.

Almost surely, 2229623832780800 is an apocalyptic number.

229623832780800 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 229623832780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400794275575200).

229623832780800 is an abundant number, since it is smaller than the sum of its proper divisors (571964718369600).

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

229623832780800 is a wasteful number, since it uses less digits than its factorization.

229623832780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58764 (or 58735 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 229623832780800 in words is "two hundred twenty-nine trillion, six hundred twenty-three billion, eight hundred thirty-two million, seven hundred eighty thousand, eight hundred".