Search a number
-
+
227074645018368 = 28327173722383989
BaseRepresentation
bin110011101000010111101111…
…100011011100011100000000
31002210000010100102211100210100
4303220113233203130130000
5214230342333111041433
62122540352443002400
765554413246651120
oct6350275743343400
91083003312740710
10227074645018368
11663978a831a854
1221574707209400
13999207c765954
144010685988c80
151b3baec91bb13
hexce85ef8dc700

227074645018368 has 432 divisors, whose sum is σ = 813669138959040. Its totient is φ = 59411760021504.

The previous prime is 227074645018307. The next prime is 227074645018369. The reversal of 227074645018368 is 863810546470722.

227074645018368 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 7 + 4 + 64 + 501 + 8 + 3 + 68 = 666.

227074645018368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227074645018369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047483 + ... + 21336506.

It is an arithmetic number, because the mean of its divisors is an integer number (1883493377220).

Almost surely, 2227074645018368 is an apocalyptic number.

227074645018368 is a gapful number since it is divisible by the number (28) 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 227074645018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406834569479520).

227074645018368 is an abundant number, since it is smaller than the sum of its proper divisors (586594493940672).

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

227074645018368 is a wasteful number, since it uses less digits than its factorization.

227074645018368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22384072 (or 22384055 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 227074645018368 in words is "two hundred twenty-seven trillion, seventy-four billion, six hundred forty-five million, eighteen thousand, three hundred sixty-eight".