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225404214 = 23726711443
BaseRepresentation
bin11010110111101…
…10010100110110
3120201010201110020
431123312110312
5430200413324
634211110010
75404622100
oct1533662466
9521121406
10225404214
11106264582
12635a2306
1337910499
1421d16570
1514bc6679
hexd6f6536

225404214 has 48 divisors (see below), whose sum is σ = 532283328. Its totient is φ = 63434448.

The previous prime is 225404203. The next prime is 225404219. The reversal of 225404214 is 412404522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225404219) 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 23 ways as a sum of consecutive naturals, for example, 13977 + ... + 25419.

It is an arithmetic number, because the mean of its divisors is an integer number (11089236).

Almost surely, 2225404214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225404214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266141664).

225404214 is an abundant number, since it is smaller than the sum of its proper divisors (306879114).

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

225404214 is a wasteful number, since it uses less digits than its factorization.

225404214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11529 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 225404214 is about 15013.4677539868. The cubic root of 225404214 is about 608.5842055457.

Adding to 225404214 its reverse (412404522), we get a palindrome (637808736).

The spelling of 225404214 in words is "two hundred twenty-five million, four hundred four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1407 2814 3283 6566 9849 11443 19698 22886 34329 68658 80101 160202 240303 480606 560707 766681 1121414 1533362 1682121 2300043 3364242 4600086 5366767 10733534 16100301 32200602 37567369 75134738 112702107 225404214