Search a number
-
+
228106877160960 = 2932572377176913
BaseRepresentation
bin110011110111011001000101…
…011000100100111000000000
31002220122210201110201021122100
4303313121011120210320000
5214344300341023122320
62125050504104110400
766022115030256300
oct6367310530447000
91086583643637570
10228106877160960
1166755646472516
1221700783765400
139a385036a01c5
144048608a83600
151b588b3c27790
hexcf7645624e00

228106877160960 has 1440 divisors, whose sum is σ = 957120422461632. Its totient is φ = 50014409195520.

The previous prime is 228106877160941. The next prime is 228106877161001. The reversal of 228106877160960 is 69061778601822.

228106877160960 is a `hidden beast` number, since 2 + 2 + 8 + 10 + 6 + 8 + 7 + 7 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2965739464 + ... + 2965816376.

Almost surely, 2228106877160960 is an apocalyptic number.

228106877160960 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 228106877160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478560211230816).

228106877160960 is an abundant number, since it is smaller than the sum of its proper divisors (729013545300672).

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

228106877160960 is a wasteful number, since it uses less digits than its factorization.

228106877160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77064 (or 77038 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 228106877160960 in words is "two hundred twenty-eight trillion, one hundred six billion, eight hundred seventy-seven million, one hundred sixty thousand, nine hundred sixty".