Search a number
-
+
902221369 = 746132
BaseRepresentation
bin110101110001101…
…100111000111001
32022212200121001021
4311301230320321
53321432040434
6225305422441
731233520000
oct6561547071
92285617037
10902221369
1142330a2a5
1221219aa21
13114bc37ca
1487b77c37
1554319cb4
hex35c6ce39

902221369 has 15 divisors (see below), whose sum is σ = 1054248783. Its totient is φ = 772071048.

The previous prime is 902221363. The next prime is 902221379. The reversal of 902221369 is 963122209.

The square root of 902221369 is 30037.

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

It can be written as a sum of positive squares in only one way, i.e., 2941225 + 899280144 = 1715^2 + 29988^2 .

It is not a de Polignac number, because 902221369 - 23 = 902221361 is a prime.

It is a super-2 number, since 2×9022213692 = 1628006797360468322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (902221361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1471507 + ... + 1472119.

Almost surely, 2902221369 is an apocalyptic number.

902221369 is the 30037-th square number.

902221369 is the 15019-th centered octagonal number.

It is an amenable number.

902221369 is a deficient number, since it is larger than the sum of its proper divisors (152027414).

902221369 is an frugal number, since it uses more digits than its factorization.

902221369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The cubic root of 902221369 is about 966.2830683427.

Multiplying 902221369 by its product of nonzero digits (11664), we get a square (10523510048016 = 32439962).

The spelling of 902221369 in words is "nine hundred two million, two hundred twenty-one thousand, three hundred sixty-nine".

Divisors: 1 7 49 343 613 2401 4291 30037 210259 375769 1471813 2630383 18412681 128888767 902221369