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21022223120 = 2451735343789
BaseRepresentation
bin10011100101000001…
…011010101100010000
32000021002000120202022
4103211001122230100
5321023142114440
613354003111012
71342643643143
oct234501325420
960232016668
1021022223120
118a08551418
1240a8372468
131ca03c60a2
141035d7a05a
1583088bcb5
hex4e505ab10

21022223120 has 80 divisors (see below), whose sum is σ = 51899557680. Its totient is φ = 7891648512.

The previous prime is 21022223111. The next prime is 21022223249. The reversal of 21022223120 is 2132222012.

It can be written as a sum of positive squares in 8 ways, for example, as 1003368976 + 20018854144 = 31676^2 + 141488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458186 + ... + 501974.

It is an arithmetic number, because the mean of its divisors is an integer number (648744471).

Almost surely, 221022223120 is an apocalyptic number.

21022223120 is a gapful number since it is divisible by the number (20) 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 21022223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25949778840).

21022223120 is an abundant number, since it is smaller than the sum of its proper divisors (30877334560).

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

21022223120 is a wasteful number, since it uses less digits than its factorization.

21022223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44172 (or 44166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 21022223120 its reverse (2132222012), we get a palindrome (23154445132).

It can be divided in two parts, 2102 and 2223120, that added together give a palindrome (2225222).

The spelling of 21022223120 in words is "twenty-one billion, twenty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 353 680 706 1360 1412 1765 2824 3530 5648 6001 7060 12002 14120 24004 28240 30005 43789 48008 60010 87578 96016 120020 175156 218945 240040 350312 437890 480080 700624 744413 875780 1488826 1751560 2977652 3503120 3722065 5955304 7444130 11910608 14888260 15457517 29776520 30915034 59553040 61830068 77287585 123660136 154575170 247320272 262777789 309150340 525555578 618300680 1051111156 1236601360 1313888945 2102222312 2627777890 4204444624 5255555780 10511111560 21022223120