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225103452 = 223722943307
BaseRepresentation
bin11010110101011…
…00111001011100
3120200120102212220
431122230321130
5430111302302
634200425340
75402230200
oct1532547134
9520512786
10225103452
11106079612
1263478250
1337836612
1421c78b00
1514b674bc
hexd6ace5c

225103452 has 144 divisors (see below), whose sum is σ = 648869760. Its totient is φ = 60455808.

The previous prime is 225103433. The next prime is 225103471. The reversal of 225103452 is 254301522.

It is an interprime number because it is at equal distance from previous prime (225103433) and next prime (225103471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733083 + ... + 733389.

It is an arithmetic number, because the mean of its divisors is an integer number (4506040).

Almost surely, 2225103452 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 225103452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).

225103452 is an abundant number, since it is smaller than the sum of its proper divisors (423766308).

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

225103452 is a wasteful number, since it uses less digits than its factorization.

225103452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 225103452 is about 15003.4480037090. The cubic root of 225103452 is about 608.3134024537.

Adding to 225103452 its reverse (254301522), we get a palindrome (479404974).

The spelling of 225103452 in words is "two hundred twenty-five million, one hundred three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 43 49 58 84 86 87 98 116 129 147 172 174 196 203 258 294 301 307 348 406 516 588 602 609 614 812 903 921 1204 1218 1228 1247 1421 1806 1842 2107 2149 2436 2494 2842 3612 3684 3741 4214 4263 4298 4988 5684 6321 6447 7482 8428 8526 8596 8729 8903 12642 12894 13201 14964 15043 17052 17458 17806 25284 25788 26187 26402 26709 30086 34916 35612 39603 45129 52374 52804 53418 60172 61103 62321 79206 90258 92407 104748 106836 122206 124642 158412 180516 183309 184814 186963 244412 249284 277221 366618 369628 373926 382829 436247 554442 646849 733236 747852 765658 872494 1108884 1148487 1293698 1308741 1531316 1744988 1940547 2296974 2587396 2617482 2679803 3881094 4593948 5234964 5359606 7762188 8039409 10719212 16078818 18758621 32157636 37517242 56275863 75034484 112551726 225103452