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10144220 = 2254189139
BaseRepresentation
bin100110101100…
…100111011100
3201002101020212
4212230213130
510044103340
61001231552
7152136662
oct46544734
921071225
1010144220
1157a9559
1234925b8
1321423c8
1414c0c32
15d55a65
hex9ac9dc

10144220 has 48 divisors (see below), whose sum is σ = 22226400. Its totient is φ = 3886080.

The previous prime is 10144217. The next prime is 10144231. The reversal of 10144220 is 2244101.

It is a junction number, because it is equal to n+sod(n) for n = 10144195 and 10144204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72911 + ... + 73049.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 210144220 is an apocalyptic number.

10144220 is a gapful number since it is divisible by the number (10) 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 10144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113200).

10144220 is an abundant number, since it is smaller than the sum of its proper divisors (12082180).

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

10144220 is a wasteful number, since it uses less digits than its factorization.

10144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10144220 is about 3184.9992150705. Note that the first 3 decimals coincide. The cubic root of 10144220 is about 216.4742380901.

Adding to 10144220 its reverse (2244101), we get a palindrome (12388321).

The spelling of 10144220 in words is "ten million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 89 139 164 178 205 278 356 410 445 556 695 820 890 1390 1780 2780 3649 5699 7298 11398 12371 14596 18245 22796 24742 28495 36490 49484 56990 61855 72980 113980 123710 247420 507211 1014422 2028844 2536055 5072110 10144220