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2827007221 is a prime number
BaseRepresentation
bin1010100010000000…
…1011010011110101
321022000111211212011
42220200023103311
521242203212341
61144304324221
7130025110363
oct25040132365
97260454764
102827007221
111220854405
1266a913671
133608c4c4c
141cb654633
151182c1b81
hexa880b4f5

2827007221 has 2 divisors, whose sum is σ = 2827007222. Its totient is φ = 2827007220.

The previous prime is 2827007191. The next prime is 2827007233. The reversal of 2827007221 is 1227007282.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2589384996 + 237622225 = 50886^2 + 15415^2 .

It is a cyclic number.

It is not a de Polignac number, because 2827007221 - 213 = 2826999029 is a prime.

It is a super-3 number, since 3×28270072213 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2827007621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1413503610 + 1413503611.

It is an arithmetic number, because the mean of its divisors is an integer number (1413503611).

Almost surely, 22827007221 is an apocalyptic number.

It is an amenable number.

2827007221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2827007221 is an equidigital number, since it uses as much as digits as its factorization.

2827007221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 2827007221 is about 53169.6080576113. The cubic root of 2827007221 is about 1413.9768721372.

The spelling of 2827007221 in words is "two billion, eight hundred twenty-seven million, seven thousand, two hundred twenty-one".