Search a number
-
+
55002257 is a prime number
BaseRepresentation
bin1101000111010…
…0010010010001
310211111101220122
43101310102101
5103040033012
65242520025
71235340302
oct321642221
9124441818
1055002257
1129058012
1216506015
13b51a21b
14743a7a9
154c66e72
hex3474491

55002257 has 2 divisors, whose sum is σ = 55002258. Its totient is φ = 55002256.

The previous prime is 55002251. The next prime is 55002263. The reversal of 55002257 is 75220055.

It is a balanced prime because it is at equal distance from previous prime (55002251) and next prime (55002263).

It can be written as a sum of positive squares in only one way, i.e., 47554816 + 7447441 = 6896^2 + 2729^2 .

It is a cyclic number.

It is not a de Polignac number, because 55002257 - 218 = 54740113 is a prime.

It is not a weakly prime, because it can be changed into another prime (55002251) 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 as a sum of consecutive naturals, namely, 27501128 + 27501129.

It is an arithmetic number, because the mean of its divisors is an integer number (27501129).

Almost surely, 255002257 is an apocalyptic number.

It is an amenable number.

55002257 is a deficient number, since it is larger than the sum of its proper divisors (1).

55002257 is an equidigital number, since it uses as much as digits as its factorization.

55002257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 55002257 is about 7416.3506524436. The cubic root of 55002257 is about 380.3004479830.

The spelling of 55002257 in words is "fifty-five million, two thousand, two hundred fifty-seven".