Search a number
-
+
229039165555200 = 29365272111331113
BaseRepresentation
bin110100000100111101010110…
…000110100100001000000000
31010000221221010020210202000000
4310010331112012210020000
5220010034202340231300
62131043050132000000
766146351016002100
oct6404752606441000
91100857106722000
10229039165555200
1166a84a67a0a850
12218313a9160000
139aa53ba661b20
14407b7aa3a1200
151b72c7ac0ac00
hexd04f561a4200

229039165555200 has 10080 divisors, whose sum is σ = 1210867036549632. Its totient is φ = 42138206208000.

The previous prime is 229039165555139. The next prime is 229039165555219. The reversal of 229039165555200 is 2555561930922.

It is a happy number.

229039165555200 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 3 + 9 + 1 + 65 + 55 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 2026895270344 + ... + 2026895270456.

Almost surely, 2229039165555200 is an apocalyptic number.

229039165555200 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 229039165555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605433518274816).

229039165555200 is an abundant number, since it is smaller than the sum of its proper divisors (981827870994432).

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

229039165555200 is a wasteful number, since it uses less digits than its factorization.

229039165555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 229039165555200 in words is "two hundred twenty-nine trillion, thirty-nine billion, one hundred sixty-five million, five hundred fifty-five thousand, two hundred".