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830188969 = 288132
BaseRepresentation
bin110001011110111…
…010110110101001
32010212010222011121
4301132322312221
53200012021334
6214213455241
726400330001
oct6136726651
92125128147
10830188969
11396690295
121b2041521
13102cc2b9c
147c387001
154cd3bdb4
hex317bada9

830188969 has 3 divisors (see below), whose sum is σ = 830217783. Its totient is φ = 830160156.

The previous prime is 830188927. The next prime is 830189039. The reversal of 830188969 is 969881038.

The square root of 830188969 is 28813.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 132595225 + 697593744 = 11515^2 + 26412^2 .

It is not a de Polignac number, because 830188969 - 223 = 821800361 is a prime.

It is a super-2 number, since 2×8301889692 = 1378427448498565922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830188369) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14407 + ... + 43219.

It is an arithmetic number, because the mean of its divisors is an integer number (276739261).

Almost surely, 2830188969 is an apocalyptic number.

830188969 is the 28813-rd square number.

830188969 is the 14407-th centered octagonal number.

It is an amenable number.

830188969 is a deficient number, since it is larger than the sum of its proper divisors (28814).

830188969 is an frugal number, since it uses more digits than its factorization.

830188969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57626 (or 28813 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The cubic root of 830188969 is about 939.8509530546.

Multiplying 830188969 by its product of nonzero digits (746496), we get a square (619732744602624 = 248944322).

The spelling of 830188969 in words is "eight hundred thirty million, one hundred eighty-eight thousand, nine hundred sixty-nine".

Divisors: 1 28813 830188969