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20100332224 = 2672311091759
BaseRepresentation
bin10010101110000100…
…101011101011000000
31220212211022200012001
4102232010223223000
5312131141112344
613122311513344
71311051001450
oct225604535300
956784280161
1020100332224
118585128115
123a8b688854
131b8440670b
14d89761d60
157c9988ed4
hex4ae12bac0

20100332224 has 112 divisors (see below), whose sum is σ = 47636582400. Its totient is φ = 8227777536.

The previous prime is 20100332209. The next prime is 20100332227. The reversal of 20100332224 is 42223300102.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (20100332227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11426257 + ... + 11428015.

Almost surely, 220100332224 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 20100332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23818291200).

20100332224 is an abundant number, since it is smaller than the sum of its proper divisors (27536250176).

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

20100332224 is a wasteful number, since it uses less digits than its factorization.

20100332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 20100332224 its reverse (42223300102), we get a palindrome (62323632326).

The spelling of 20100332224 in words is "twenty billion, one hundred million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1109 1288 1472 1759 2218 2576 3518 4436 5152 7036 7763 8872 10304 12313 14072 15526 17744 24626 25507 28144 31052 35488 40457 49252 51014 56288 62104 70976 80914 98504 102028 112576 124208 161828 178549 197008 204056 248416 283199 323656 357098 394016 408112 496832 566398 647312 714196 788032 816224 1132796 1294624 1428392 1632448 1950731 2265592 2589248 2856784 3901462 4531184 5713568 7802924 9062368 11427136 13655117 15605848 18124736 27310234 31211696 44866813 54620468 62423392 89733626 109240936 124846784 179467252 218481872 314067691 358934504 436963744 628135382 717869008 873927488 1256270764 1435738016 2512541528 2871476032 5025083056 10050166112 20100332224