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350251225 = 521921972
BaseRepresentation
bin10100111000000…
…110100011011001
3220102001121100121
4110320012203121
51204131014400
654431033241
711452041412
oct2470064331
9812047317
10350251225
1116a786a25
129936b821
135774365c
1434734809
1520b3821a
hex14e068d9

350251225 has 27 divisors (see below), whose sum is σ = 460711677. Its totient is φ = 264106080.

The previous prime is 350251207. The next prime is 350251229. The reversal of 350251225 is 522152053.

It is a happy number.

The square root of 350251225 is 18715.

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 80766169 + 269485056 = 8987^2 + 16416^2 .

It is not a de Polignac number, because 350251225 - 25 = 350251193 is a prime.

It is a super-2 number, since 2×3502512252 = 245351841228001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 350251225.

It is not an unprimeable number, because it can be changed into a prime (350251229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1777827 + ... + 1778023.

Almost surely, 2350251225 is an apocalyptic number.

350251225 is the 18715-th square number.

350251225 is the 9358-th centered octagonal number.

It is an amenable number.

350251225 is a deficient number, since it is larger than the sum of its proper divisors (110460452).

350251225 is an equidigital number, since it uses as much as digits as its factorization.

350251225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The cubic root of 350251225 is about 704.8984478912.

Multiplying 350251225 by its sum of digits (25), we get a square (8756280625 = 935752).

350251225 divided by its sum of digits (25) gives a square (14010049 = 37432).

The spelling of 350251225 in words is "three hundred fifty million, two hundred fifty-one thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 197 361 475 985 1805 3743 4925 9025 18715 38809 71117 93575 194045 355585 737371 970225 1777925 3686855 14010049 18434275 70050245 350251225