Search a number
-
+
227114346051600 = 2435271710115746897
BaseRepresentation
bin110011101000111100101101…
…111010110111100000010000
31002210010220211021022210222120
4303220330231322313200100
5214232020140042122400
62123010520141534240
765560320134114520
oct6350745572674020
91083126737283876
10227114346051600
116640272053a717
1221580346b74380
139995a388bc7a7
144012570571680
151b3cb7304aca0
hexce8f2deb7810

227114346051600 has 480 divisors, whose sum is σ = 889080442995456. Its totient is φ = 48374464512000.

The previous prime is 227114346051479. The next prime is 227114346051629. The reversal of 227114346051600 is 6150643411722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6549352 + ... + 22296248.

Almost surely, 2227114346051600 is an apocalyptic number.

227114346051600 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 227114346051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444540221497728).

227114346051600 is an abundant number, since it is smaller than the sum of its proper divisors (661966096943856).

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

227114346051600 is a wasteful number, since it uses less digits than its factorization.

227114346051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15747043 (or 15747032 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 227114346051600 in words is "two hundred twenty-seven trillion, one hundred fourteen billion, three hundred forty-six million, fifty-one thousand, six hundred".