Search a number
-
+
227404398312 = 233273133173313
BaseRepresentation
bin1101001111001001011…
…0111011111011101000
3210201222012111100201200
43103302112323323220
512211211011221222
6252245041244200
722300202331000
oct3236226737350
9721865440650
10227404398312
1188494944273
12380a5333660
13185a0a21290
14b013911000
155dae28aeac
hex34f25bbee8

227404398312 has 768 divisors, whose sum is σ = 811958784000. Its totient is φ = 57062154240.

The previous prime is 227404398301. The next prime is 227404398329. The reversal of 227404398312 is 213893404722.

227404398312 is a `hidden beast` number, since 227 + 4 + 0 + 4 + 398 + 31 + 2 = 666.

227404398312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 726531468 + ... + 726531780.

It is an arithmetic number, because the mean of its divisors is an integer number (1057238000).

Almost surely, 2227404398312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227404398312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405979392000).

227404398312 is an abundant number, since it is smaller than the sum of its proper divisors (584554385688).

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

227404398312 is a wasteful number, since it uses less digits than its factorization.

227404398312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 227404398312 in words is "two hundred twenty-seven billion, four hundred four million, three hundred ninety-eight thousand, three hundred twelve".