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221148252397 is a prime number
BaseRepresentation
bin1100110111110101110…
…1101000100011101101
3210010211012110012220201
43031331131220203231
512110402423034042
6245332154313501
721656155062352
oct3157535504355
9703735405821
10221148252397
1185874472246
1236a3a128891
1317b148705a7
14a9bcaa6629
155b44e081b7
hex337d7688ed

221148252397 has 2 divisors, whose sum is σ = 221148252398. Its totient is φ = 221148252396.

The previous prime is 221148252343. The next prime is 221148252419. The reversal of 221148252397 is 793252841122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181487928196 + 39660324201 = 426014^2 + 199149^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221148252397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221148252337) by changing a digit.

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 as a sum of consecutive naturals, namely, 110574126198 + 110574126199.

It is an arithmetic number, because the mean of its divisors is an integer number (110574126199).

Almost surely, 2221148252397 is an apocalyptic number.

It is an amenable number.

221148252397 is a deficient number, since it is larger than the sum of its proper divisors (1).

221148252397 is an equidigital number, since it uses as much as digits as its factorization.

221148252397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 483840, while the sum is 46.

The spelling of 221148252397 in words is "two hundred twenty-one billion, one hundred forty-eight million, two hundred fifty-two thousand, three hundred ninety-seven".