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10225244220 = 22351091938101
BaseRepresentation
bin10011000010111100…
…01101100000111100
3222101121121020002220
421201132031200330
5131420130303340
64410350245340
7511251066432
oct114136154074
928347536086
1010225244220
11437797a364
121b944b6850
13c6c572b89
146d0036d52
153eca51ed0
hex26178d83c

10225244220 has 96 divisors (see below), whose sum is σ = 29046642240. Its totient is φ = 2687385600.

The previous prime is 10225244219. The next prime is 10225244291. The reversal of 10225244220 is 2244252201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258170 + ... + 1266270.

It is an arithmetic number, because the mean of its divisors is an integer number (302569190).

Almost surely, 210225244220 is an apocalyptic number.

10225244220 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 10225244220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523321120).

10225244220 is an abundant number, since it is smaller than the sum of its proper divisors (18821398020).

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

10225244220 is a wasteful number, since it uses less digits than its factorization.

10225244220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8415 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 10225244220 its reverse (2244252201), we get a palindrome (12469496421).

The spelling of 10225244220 in words is "ten billion, two hundred twenty-five million, two hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 193 218 327 386 436 545 579 654 772 965 1090 1158 1308 1635 1930 2180 2316 2895 3270 3860 5790 6540 8101 11580 16202 21037 24303 32404 40505 42074 48606 63111 81010 84148 97212 105185 121515 126222 162020 210370 243030 252444 315555 420740 486060 631110 883009 1262220 1563493 1766018 2649027 3126986 3532036 4415045 4690479 5298054 6253972 7817465 8830090 9380958 10596108 13245135 15634930 17660180 18761916 23452395 26490270 31269860 46904790 52980540 93809580 170420737 340841474 511262211 681682948 852103685 1022524422 1704207370 2045048844 2556311055 3408414740 5112622110 10225244220