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225201414 = 231719294007
BaseRepresentation
bin11010110110001…
…00110100000110
3120200202102021010
431123010310012
5430122421124
634202503050
75403115614
oct1533046406
9520672233
10225201414
11106136179
1263504a86
133786c099
1421ca26b4
1514b86529
hexd6c4d06

225201414 has 64 divisors (see below), whose sum is σ = 519436800. Its totient is φ = 64608768.

The previous prime is 225201413. The next prime is 225201419. The reversal of 225201414 is 414102522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225201413) 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 31 ways as a sum of consecutive naturals, for example, 54199 + ... + 58205.

It is an arithmetic number, because the mean of its divisors is an integer number (8116200).

Almost surely, 2225201414 is an apocalyptic number.

225201414 is an abundant number, since it is smaller than the sum of its proper divisors (294235386).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225201414 is a wasteful number, since it uses less digits than its factorization.

225201414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 225201414 is about 15006.7122981684. The cubic root of 225201414 is about 608.4016329311.

Adding to 225201414 its reverse (414102522), we get a palindrome (639303936).

The spelling of 225201414 in words is "two hundred twenty-five million, two hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 19 29 34 38 51 57 58 87 102 114 174 323 493 551 646 969 986 1102 1479 1653 1938 2958 3306 4007 8014 9367 12021 18734 24042 28101 56202 68119 76133 116203 136238 152266 204357 228399 232406 348609 408714 456798 697218 1294261 1975451 2207857 2588522 3882783 3950902 4415714 5926353 6623571 7765566 11852706 13247142 37533569 75067138 112600707 225201414