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228652286976 = 210321722932
BaseRepresentation
bin1101010011110010111…
…1010000010000000000
3210212012011121200011100
43110330233100100000
512221234441140401
6253012540014400
722343134241241
oct3247457202000
9725164550140
10228652286976
1188a75289513
1238393231400
131873c411b39
14b0d1548cc8
155e33ad5b86
hex353cbd0400

228652286976 has 297 divisors, whose sum is σ = 703751871511. Its totient is φ = 71489224704.

The previous prime is 228652286911. The next prime is 228652286977. The reversal of 228652286976 is 679682256822.

The square root of 228652286976 is 478176.

It is a perfect power (a square), and thus also a powerful number.

228652286976 is a `hidden beast` number, since 2 + 28 + 6 + 522 + 86 + 9 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128290046976 + 100362240000 = 358176^2 + 316800^2 .

It is a Duffinian number.

Its product of digits (69672960) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (228652286977) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 780383086 + ... + 780383378.

Almost surely, 2228652286976 is an apocalyptic number.

228652286976 is the 478176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228652286976

228652286976 is an abundant number, since it is smaller than the sum of its proper divisors (475099584535).

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

228652286976 is an equidigital number, since it uses as much as digits as its factorization.

228652286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 315 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 228652286976 in words is "two hundred twenty-eight billion, six hundred fifty-two million, two hundred eighty-six thousand, nine hundred seventy-six".