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225343404 = 2233111314591
BaseRepresentation
bin11010110111001…
…11011110101100
3120201000122001000
431123213132230
5430141442104
634205520300
75404246566
oct1533473654
9521018030
10225343404
11106222920
1263573090
13378bb8c0
1421cdc336
1514bb3639
hexd6e77ac

225343404 has 96 divisors (see below), whose sum is σ = 686407680. Its totient is φ = 63028800.

The previous prime is 225343403. The next prime is 225343451. The reversal of 225343404 is 404343522.

225343404 is a `hidden beast` number, since 2 + 253 + 4 + 3 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225343403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8149 + ... + 22739.

It is an arithmetic number, because the mean of its divisors is an integer number (7150080).

Almost surely, 2225343404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225343404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343203840).

225343404 is an abundant number, since it is smaller than the sum of its proper divisors (461064276).

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

225343404 is a wasteful number, since it uses less digits than its factorization.

225343404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14628 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 225343404 is about 15011.4424356889. The cubic root of 225343404 is about 608.5294722683.

Adding to 225343404 its reverse (404343522), we get a palindrome (629686926).

The spelling of 225343404 in words is "two hundred twenty-five million, three hundred forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 14591 15444 29182 43773 58364 87546 131319 160501 175092 189683 262638 321002 379366 393957 481503 525276 569049 642004 758732 787914 963006 1138098 1444509 1575828 1707147 1926012 2086513 2276196 2889018 3414294 4173026 4333527 5121441 5778036 6259539 6828588 8346052 8667054 10242882 12519078 17334108 18778617 20485764 25038156 37557234 56335851 75114468 112671702 225343404