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225102060 = 223252921487
BaseRepresentation
bin11010110101011…
…00100011101100
3120200120100222100
431122230203230
5430111231220
634200415100
75402223141
oct1532544354
9520510870
10225102060
11106078567
1263477490
1337835ab1
1421c783c8
1514b66d90
hexd6ac8ec

225102060 has 108 divisors (see below), whose sum is σ = 707642208. Its totient is φ = 57918336.

The previous prime is 225102041. The next prime is 225102061. The reversal of 225102060 is 60201522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (225102061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 150637 + ... + 152123.

Almost surely, 2225102060 is an apocalyptic number.

225102060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225102060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353821104).

225102060 is an abundant number, since it is smaller than the sum of its proper divisors (482540148).

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

225102060 is a wasteful number, since it uses less digits than its factorization.

225102060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 225102060 is about 15003.4016143007. The cubic root of 225102060 is about 608.3121485502.

Adding to 225102060 its reverse (60201522), we get a palindrome (285303582).

The spelling of 225102060 in words is "two hundred twenty-five million, one hundred two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 841 870 1044 1305 1487 1682 1740 2523 2610 2974 3364 4205 4461 5046 5220 5948 7435 7569 8410 8922 10092 12615 13383 14870 15138 16820 17844 22305 25230 26766 29740 30276 37845 43123 44610 50460 53532 66915 75690 86246 89220 129369 133830 151380 172492 215615 258738 267660 388107 431230 517476 646845 776214 862460 1250567 1293690 1552428 1940535 2501134 2587380 3751701 3881070 5002268 6252835 7503402 7762140 11255103 12505670 15006804 18758505 22510206 25011340 37517010 45020412 56275515 75034020 112551030 225102060