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225326010 = 23572132907
BaseRepresentation
bin11010110111000…
…11001110111010
3120200222202011210
431123203032322
5430140413020
634205303550
75404145100
oct1533431672
9520882153
10225326010
11106210848
1263564bb6
13378b3a00
1421cd5c70
1514bad3e0
hexd6e33ba

225326010 has 144 divisors (see below), whose sum is σ = 681937056. Its totient is φ = 47488896.

The previous prime is 225325987. The next prime is 225326021. The reversal of 225326010 is 10623522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 247977 + ... + 248883.

It is an arithmetic number, because the mean of its divisors is an integer number (4735674).

Almost surely, 2225326010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225326010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340968528).

225326010 is an abundant number, since it is smaller than the sum of its proper divisors (456611046).

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

225326010 is a wasteful number, since it uses less digits than its factorization.

225326010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 225326010 is about 15010.8630664596. The cubic root of 225326010 is about 608.5138146338.

Adding to 225326010 its reverse (10623522), we get a palindrome (235949532).

The spelling of 225326010 in words is "two hundred twenty-five million, three hundred twenty-six thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 182 195 210 245 273 294 338 390 455 490 507 546 637 735 845 907 910 1014 1183 1274 1365 1470 1690 1814 1911 2366 2535 2721 2730 3185 3549 3822 4535 5070 5442 5915 6349 6370 7098 8281 9070 9555 11791 11830 12698 13605 16562 17745 19047 19110 23582 24843 27210 31745 35373 35490 38094 41405 44443 49686 58955 63490 70746 82537 82810 88886 95235 117910 124215 133329 153283 165074 176865 190470 222215 247611 248430 266658 306566 353730 412685 444430 459849 495222 577759 666645 766415 825370 919698 1072981 1155518 1238055 1333290 1532830 1733277 2145962 2299245 2476110 2888795 3218943 3466554 4598490 5364905 5777590 6437886 7510867 8666385 10729810 15021734 16094715 17332770 22532601 32189430 37554335 45065202 75108670 112663005 225326010