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227681453952 = 2732678213593
BaseRepresentation
bin1101010000001011011…
…1110100011110000000
3210202200111211020121200
43110002313310132000
512212242423011302
6252332335421200
722310105266251
oct3240267643600
9722614736550
10227681453952
1188617277277
1238162084800
1318616247724
14b03c630b28
155dc876681c
hex3502df4780

227681453952 has 192 divisors, whose sum is σ = 665951092560. Its totient is φ = 74649231360.

The previous prime is 227681453929. The next prime is 227681453957. The reversal of 227681453952 is 259354186722.

227681453952 is a `hidden beast` number, since 2 + 27 + 6 + 81 + 4 + 539 + 5 + 2 = 666.

227681453952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227681453957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 63366268 + ... + 63369860.

Almost surely, 2227681453952 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 227681453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332975546280).

227681453952 is an abundant number, since it is smaller than the sum of its proper divisors (438269638608).

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

227681453952 is a wasteful number, since it uses less digits than its factorization.

227681453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4486 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 227681453952 in words is "two hundred twenty-seven billion, six hundred eighty-one million, four hundred fifty-three thousand, nine hundred fifty-two".