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225115020 = 2232513175659
BaseRepresentation
bin11010110101011…
…11101110001100
3120200121000202100
431122233232030
5430112140040
634200555100
75402306004
oct1532575614
9520530670
10225115020
11106087279
1263482a90
133783b970
1421c7d004
1514b6ab30
hexd6afb8c

225115020 has 144 divisors (see below), whose sum is σ = 778770720. Its totient is φ = 52144128.

The previous prime is 225114979. The next prime is 225115027. The reversal of 225115020 is 20511522.

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

It is a junction number, because it is equal to n+sod(n) for n = 225114984 and 225115002.

It is not an unprimeable number, because it can be changed into a prime (225115027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36951 + ... + 42609.

It is an arithmetic number, because the mean of its divisors is an integer number (5408130).

Almost surely, 2225115020 is an apocalyptic number.

225115020 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 225115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389385360).

225115020 is an abundant number, since it is smaller than the sum of its proper divisors (553655700).

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

225115020 is a wasteful number, since it uses less digits than its factorization.

225115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 225115020 is about 15003.8335101400. The cubic root of 225115020 is about 608.3238226240.

Adding to 225115020 its reverse (20511522), we get a palindrome (245626542).

It can be divided in two parts, 2251 and 15020, that added together give a palindrome (17271).

The spelling of 225115020 in words is "two hundred twenty-five million, one hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 5659 6630 7956 9945 11318 13260 16977 19890 22636 28295 33954 39780 50931 56590 67908 73567 84885 96203 101862 113180 147134 169770 192406 203724 220701 254655 288609 294268 339540 367835 384812 441402 481015 509310 577218 662103 735670 865827 882804 962030 1018620 1103505 1154436 1250639 1324206 1443045 1471340 1731654 1924060 2207010 2501278 2648412 2886090 3310515 3463308 3751917 4329135 4414020 5002556 5772180 6253195 6621030 7503834 8658270 11255751 12506390 13242060 15007668 17316540 18759585 22511502 25012780 37519170 45023004 56278755 75038340 112557510 225115020