Search a number
-
+
1690443225 = 325227412
BaseRepresentation
bin110010011000010…
…0001110111011001
311100210212102011100
41210300201313121
511430223140400
6435424022013
756614346622
oct14460416731
94323772140
101690443225
11798236019
123b2161909
1320c2b1683
14120718a49
159d617100
hex64c21dd9

1690443225 has 27 divisors (see below), whose sum is σ = 3028876669. Its totient is φ = 901240800.

The previous prime is 1690443203. The next prime is 1690443233. The reversal of 1690443225 is 5223440961.

It is a happy number.

The square root of 1690443225 is 41115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 201100761 + 1489342464 = 14181^2 + 38592^2 .

It is not a de Polignac number, because 1690443225 - 227 = 1556225497 is a prime.

It is a super-3 number, since 3×16904432253 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1690443225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 615355 + ... + 618095.

Almost surely, 21690443225 is an apocalyptic number.

1690443225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1690443225 is the 41115-th square number.

1690443225 is the 20558-th centered octagonal number.

It is an amenable number.

1690443225 is a deficient number, since it is larger than the sum of its proper divisors (1338433444).

1690443225 is an frugal number, since it uses more digits than its factorization.

1690443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 1690443225 is about 1191.2425467313.

Multiplying 1690443225 by its sum of digits (36), we get a square (60855956100 = 2466902).

The spelling of 1690443225 in words is "one billion, six hundred ninety million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2741 8223 13705 24669 41115 68525 123345 205575 616725 7513081 22539243 37565405 67617729 112696215 187827025 338088645 563481075 1690443225