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225836604 = 223273753457
BaseRepresentation
bin11010111010111…
…11111000111100
3120201221200120200
431131133320330
5430303232404
634224243500
75411402520
oct1535377074
9521850520
10225836604
1110652a424
1263770590
1337a32236
1421dc9d80
1514c5e839
hexd75fe3c

225836604 has 144 divisors (see below), whose sum is σ = 684186048. Its totient is φ = 61461504.

The previous prime is 225836593. The next prime is 225836621. The reversal of 225836604 is 406638522.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 493944 + ... + 494400.

It is an arithmetic number, because the mean of its divisors is an integer number (4751292).

Almost surely, 2225836604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225836604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342093024).

225836604 is an abundant number, since it is smaller than the sum of its proper divisors (458349444).

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

225836604 is a wasteful number, since it uses less digits than its factorization.

225836604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 225836604 is about 15027.8609256274. The cubic root of 225836604 is about 608.9731033928.

The spelling of 225836604 in words is "two hundred twenty-five million, eight hundred thirty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 53 63 74 84 106 111 126 148 159 212 222 252 259 318 333 371 444 457 477 518 636 666 742 777 914 954 1036 1113 1332 1371 1484 1554 1828 1908 1961 2226 2331 2742 3108 3199 3339 3922 4113 4452 4662 5484 5883 6398 6678 7844 8226 9324 9597 11766 12796 13356 13727 16452 16909 17649 19194 23532 24221 27454 28791 33818 35298 38388 41181 48442 50727 54908 57582 67636 70596 72663 82362 96884 101454 115164 118363 123543 145326 152181 164724 169547 202908 217989 236726 247086 290652 304362 339094 355089 435978 473452 494172 508641 608724 678188 710178 871956 896177 1017282 1065267 1420356 1525923 1792354 2034564 2130534 2688531 3051846 3584708 4261068 5377062 6103692 6273239 8065593 10754124 12546478 16131186 18819717 25092956 32262372 37639434 56459151 75278868 112918302 225836604