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290191225 = 5234072
BaseRepresentation
bin10001010010111…
…111011101111001
3202020001020112011
4101102333131321
51043242104400
644443445521
710122404362
oct2122773571
9666036464
10290191225
11139894a65
12812268a1
13481752ac
142a77cb69
151a7228ba
hex114bf779

290191225 has 9 divisors (see below), whose sum is σ = 359942767. Its totient is φ = 232084840.

The previous prime is 290191201. The next prime is 290191247. The reversal of 290191225 is 522191092.

The square root of 290191225 is 17035.

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., 104468841 + 185722384 = 10221^2 + 13628^2 .

It is not a de Polignac number, because 290191225 - 227 = 155973497 is a prime.

It is a super-3 number, since 3×2901912253 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83472 + ... + 86878.

Almost surely, 2290191225 is an apocalyptic number.

290191225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290191225 is the 17035-th square number.

290191225 is the 8518-th centered octagonal number.

It is an amenable number.

290191225 is a deficient number, since it is larger than the sum of its proper divisors (69751542).

290191225 is an frugal number, since it uses more digits than its factorization.

290191225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The cubic root of 290191225 is about 662.0560500243.

The spelling of 290191225 in words is "two hundred ninety million, one hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 5 25 3407 17035 85175 11607649 58038245 290191225