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225501570 = 23857491
BaseRepresentation
bin11010111000011…
…10000110000010
3120201022200000000
431130032012002
5430212022240
634213140430
75405505660
oct1534160602
9521280000
10225501570
11106320738
126362a716
13379458a8
1421d3dc30
1514be5430
hexd70e182

225501570 has 144 divisors (see below), whose sum is σ = 697215168. Its totient is φ = 51438240.

The previous prime is 225501559. The next prime is 225501571. The reversal of 225501570 is 75105522.

It is a happy number.

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 (225501571) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 459025 + ... + 459515.

It is an arithmetic number, because the mean of its divisors is an integer number (4841772).

Almost surely, 2225501570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225501570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348607584).

225501570 is an abundant number, since it is smaller than the sum of its proper divisors (471713598).

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

225501570 is an frugal number, since it uses more digits than its factorization.

225501570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 225501570 is about 15016.7096928721. The cubic root of 225501570 is about 608.6718123013.

The spelling of 225501570 in words is "two hundred twenty-five million, five hundred one thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 491 567 630 729 810 945 982 1134 1215 1458 1473 1701 1890 2187 2430 2455 2835 2946 3402 3437 3645 4374 4419 4910 5103 5670 6561 6874 7290 7365 8505 8838 10206 10311 10935 13122 13257 14730 15309 17010 17185 20622 21870 22095 25515 26514 30618 30933 32805 34370 39771 44190 45927 51030 51555 61866 65610 66285 76545 79542 91854 92799 103110 119313 132570 153090 154665 185598 198855 229635 238626 278397 309330 357939 397710 459270 463995 556794 596565 715878 835191 927990 1073817 1193130 1391985 1670382 1789695 2147634 2505573 2783970 3221451 3579390 4175955 5011146 5369085 6442902 7516719 8351910 10738170 12527865 15033438 16107255 22550157 25055730 32214510 37583595 45100314 75167190 112750785 225501570