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225610452 = 223261711447
BaseRepresentation
bin11010111001010…
…00101011010100
3120201112012100200
431130220223110
5430224013302
634215340500
75406441264
oct1534505324
9521465320
10225610452
11106395521
1263681730
1337983312
1421d6b7a4
1514c1781c
hexd728ad4

225610452 has 72 divisors (see below), whose sum is σ = 588212352. Its totient is φ = 72878400.

The previous prime is 225610447. The next prime is 225610471. The reversal of 225610452 is 254016522.

225610452 is a `hidden beast` number, since 2 + 2 + 5 + 610 + 45 + 2 = 666.

225610452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155193 + ... + 156639.

It is an arithmetic number, because the mean of its divisors is an integer number (8169616).

Almost surely, 2225610452 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 225610452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294106176).

225610452 is an abundant number, since it is smaller than the sum of its proper divisors (362601900).

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

225610452 is a wasteful number, since it uses less digits than its factorization.

225610452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225610452 is about 15020.3346167787. The cubic root of 225610452 is about 608.7697609772.

Adding to 225610452 its reverse (254016522), we get a palindrome (479626974).

The spelling of 225610452 in words is "two hundred twenty-five million, six hundred ten thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 71 122 142 183 213 244 284 366 426 549 639 732 852 1098 1278 1447 2196 2556 2894 4331 4341 5788 8662 8682 12993 13023 17324 17364 25986 26046 38979 51972 52092 77958 88267 102737 155916 176534 205474 264801 308211 353068 410948 529602 616422 794403 924633 1059204 1232844 1588806 1849266 3177612 3698532 6266957 12533914 18800871 25067828 37601742 56402613 75203484 112805226 225610452