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225304470 = 233519371187
BaseRepresentation
bin11010110110111…
…01111110010110
3120200221122122000
431123131332112
5430134220340
634205020130
75404025226
oct1533357626
9520848560
10225304470
111061a6646
1263554646
13378a6c71
1421ccc086
1514ba6d30
hexd6ddf96

225304470 has 128 divisors (see below), whose sum is σ = 650073600. Its totient is φ = 55334016.

The previous prime is 225304463. The next prime is 225304483. The reversal of 225304470 is 74403522.

225304470 is a `hidden beast` number, since 22 + 530 + 44 + 70 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189217 + ... + 190403.

It is an arithmetic number, because the mean of its divisors is an integer number (5078700).

Almost surely, 2225304470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225304470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325036800).

225304470 is an abundant number, since it is smaller than the sum of its proper divisors (424769130).

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

225304470 is a wasteful number, since it uses less digits than its factorization.

225304470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 225304470 is about 15010.1455689144. The cubic root of 225304470 is about 608.4944237591.

Adding to 225304470 its reverse (74403522), we get a palindrome (299707992).

It can be divided in two parts, 22530 and 4470, that added together give a cube (27000 = 303).

The spelling of 225304470 in words is "two hundred twenty-five million, three hundred four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 90 95 111 114 135 171 185 190 222 270 285 333 342 370 513 555 570 666 703 855 999 1026 1110 1187 1406 1665 1710 1998 2109 2374 2565 3330 3515 3561 4218 4995 5130 5935 6327 7030 7122 9990 10545 10683 11870 12654 17805 18981 21090 21366 22553 31635 32049 35610 37962 43919 45106 53415 63270 64098 67659 87838 94905 106830 112765 131757 135318 160245 189810 202977 219595 225530 263514 320490 338295 395271 405954 439190 608931 658785 676590 790542 834461 1014885 1185813 1217862 1317570 1668922 1976355 2029770 2371626 2503383 3044655 3952710 4172305 5006766 5929065 6089310 7510149 8344610 11858130 12516915 15020298 22530447 25033830 37550745 45060894 75101490 112652235 225304470