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10023223344 = 2431032717481
BaseRepresentation
bin10010101010110111…
…00100000000110000
3221212112110111120020
421111123210000300
5131011421121334
64334332243440
7503245664331
oct112533440060
927775414506
1010023223344
114283937062
121b38910580
13c3975bab4
146b128a288
153d9e48e49
hex2556e4030

10023223344 has 80 divisors (see below), whose sum is σ = 26244701184. Its totient is φ = 3295987200.

The previous prime is 10023223279. The next prime is 10023223369. The reversal of 10023223344 is 44332232001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1336084 + ... + 1343564.

Almost surely, 210023223344 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 10023223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122350592).

10023223344 is an abundant number, since it is smaller than the sum of its proper divisors (16221477840).

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

10023223344 is a wasteful number, since it uses less digits than its factorization.

10023223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7866 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10023223344 its reverse (44332232001), we get a palindrome (54355455345).

The spelling of 10023223344 in words is "ten billion, twenty-three million, two hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 271 309 412 542 618 813 824 1084 1236 1626 1648 2168 2472 3252 4336 4944 6504 7481 13008 14962 22443 27913 29924 44886 55826 59848 83739 89772 111652 119696 167478 179544 223304 334956 359088 446608 669912 770543 1339824 1541086 2027351 2311629 3082172 4054702 4623258 6082053 6164344 8109404 9246516 12164106 12328688 16218808 18493032 24328212 32437616 36986064 48656424 97312848 208817153 417634306 626451459 835268612 1252902918 1670537224 2505805836 3341074448 5011611672 10023223344