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10024220192 = 257181433571
BaseRepresentation
bin10010101010111110…
…10111011000100000
3221212121100010222112
421111133113120200
5131012200021232
64334405454452
7503260315520
oct112537273040
927777303875
1010024220192
114284457aa8
121b39111428
13c39a1a74c
146b1469680
153da0944b2
hex2557d7620

10024220192 has 96 divisors (see below), whose sum is σ = 22771292544. Its totient is φ = 4255027200.

The previous prime is 10024220191. The next prime is 10024220197. The reversal of 10024220192 is 29102242001.

10024220192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10024220191) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17555267 + ... + 17555837.

It is an arithmetic number, because the mean of its divisors is an integer number (237200964).

Almost surely, 210024220192 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 10024220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385646272).

10024220192 is an abundant number, since it is smaller than the sum of its proper divisors (12747072352).

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

10024220192 is a wasteful number, since it uses less digits than its factorization.

10024220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10024220192 its reverse (29102242001), we get a palindrome (39126462193).

The spelling of 10024220192 in words is "ten billion, twenty-four million, two hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 362 433 571 724 866 1142 1267 1448 1732 2284 2534 2896 3031 3464 3997 4568 5068 5792 6062 6928 7994 9136 10136 12124 13856 15988 18272 20272 24248 31976 40544 48496 63952 78373 96992 103351 127904 156746 206702 247243 313492 413404 494486 548611 626984 723457 826808 988972 1097222 1253968 1446914 1653616 1730701 1977944 2194444 2507936 2893828 3307232 3461402 3955888 4388888 5787656 6922804 7911776 8777776 11575312 13845608 17555552 23150624 27691216 44750983 55382432 89501966 179003932 313256881 358007864 626513762 716015728 1253027524 1432031456 2506055048 5012110096 10024220192