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10225116 = 22341119151
BaseRepresentation
bin100111000000…
…010111011100
3201020111020000
4213000113130
510104200431
61003054300
7152624556
oct47002734
921214200
1010225116
115854310
123511390
132170185
1415024d6
15d6e9e6
hex9c05dc

10225116 has 120 divisors (see below), whose sum is σ = 30898560. Its totient is φ = 2916000.

The previous prime is 10225093. The next prime is 10225123. The reversal of 10225116 is 61152201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67641 + ... + 67791.

It is an arithmetic number, because the mean of its divisors is an integer number (257488).

Almost surely, 210225116 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 10225116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449280).

10225116 is an abundant number, since it is smaller than the sum of its proper divisors (20673444).

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

10225116 is a wasteful number, since it uses less digits than its factorization.

10225116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10225116 is about 3197.6735293022. The cubic root of 10225116 is about 217.0481463528.

Adding to 10225116 its reverse (61152201), we get a palindrome (71377317).

The spelling of 10225116 in words is "ten million, two hundred twenty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 151 162 171 198 209 228 297 302 324 342 396 418 453 513 594 604 627 684 836 891 906 1026 1188 1254 1359 1539 1661 1782 1812 1881 2052 2508 2718 2869 3078 3322 3564 3762 4077 4983 5436 5643 5738 6156 6644 7524 8154 8607 9966 11286 11476 12231 14949 16308 16929 17214 19932 22572 24462 25821 29898 31559 33858 34428 44847 48924 51642 59796 63118 67716 77463 89694 94677 103284 126236 134541 154926 179388 189354 232389 269082 284031 309852 378708 464778 538164 568062 852093 929556 1136124 1704186 2556279 3408372 5112558 10225116