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228927799296 = 2163272892
BaseRepresentation
bin1101010100110100101…
…0010000000000000000
3210212220101001011000100
43111031022100000000
512222321004034141
6253100141122400
722353021121200
oct3251512200000
9725811034010
10228927799296
11890a6857a49
123844b559400
1318784517991
14b119d86400
155e4cda90b6
hex354d290000

228927799296 has 459 divisors, whose sum is σ = 778057247721. Its totient is φ = 64673021952.

The previous prime is 228927799283. The next prime is 228927799297. The reversal of 228927799296 is 692997729822.

The square root of 228927799296 is 478464.

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

228927799296 is a `hidden beast` number, since 228 + 9 + 27 + 7 + 99 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43958992896 + 184968806400 = 209664^2 + 430080^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228927799297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2572222420 + ... + 2572222508.

Almost surely, 2228927799296 is an apocalyptic number.

228927799296 is the 478464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228927799296

228927799296 is an abundant number, since it is smaller than the sum of its proper divisors (549129448425).

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

228927799296 is an frugal number, since it uses more digits than its factorization.

228927799296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 101 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 228927799296 in words is "two hundred twenty-eight billion, nine hundred twenty-seven million, seven hundred ninety-nine thousand, two hundred ninety-six".