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2077083233 is a prime number
BaseRepresentation
bin111101111001101…
…1100011001100001
312100202101202112122
41323303130121201
513223213130413
6542035034025
7102320626151
oct17363343141
95322352478
102077083233
11976506415
1249b73b915
13271425c44
14159c02761
15c253c108
hex7bcdc661

2077083233 has 2 divisors, whose sum is σ = 2077083234. Its totient is φ = 2077083232.

The previous prime is 2077083209. The next prime is 2077083257. The reversal of 2077083233 is 3323807702.

It is a balanced prime because it is at equal distance from previous prime (2077083209) and next prime (2077083257).

It can be written as a sum of positive squares in only one way, i.e., 1540327009 + 536756224 = 39247^2 + 23168^2 .

It is a cyclic number.

It is not a de Polignac number, because 2077083233 - 216 = 2077017697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2077083193 and 2077083202.

It is not a weakly prime, because it can be changed into another prime (2077083133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1038541616 + 1038541617.

It is an arithmetic number, because the mean of its divisors is an integer number (1038541617).

Almost surely, 22077083233 is an apocalyptic number.

It is an amenable number.

2077083233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2077083233 is an equidigital number, since it uses as much as digits as its factorization.

2077083233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2077083233 is about 45575.0286121687. The cubic root of 2077083233 is about 1275.9039050758.

The spelling of 2077083233 in words is "two billion, seventy-seven million, eighty-three thousand, two hundred thirty-three".