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2124223420 = 22511231972131
BaseRepresentation
bin111111010011101…
…0001001110111100
312111001002201201111
41332213101032330
513322300122140
6550441251404
7103432413124
oct17647211674
95431081644
102124223420
119a0083550
124b3493b64
1327b11c747
14162193c84
15c674e7ea
hex7e9d13bc

2124223420 has 96 divisors (see below), whose sum is σ = 5106157056. Its totient is φ = 734764800.

The previous prime is 2124223403. The next prime is 2124223441. The reversal of 2124223420 is 243224212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2124223391 and 2124223400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995755 + ... + 997885.

It is an arithmetic number, because the mean of its divisors is an integer number (53189136).

Almost surely, 22124223420 is an apocalyptic number.

2124223420 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 2124223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553078528).

2124223420 is an abundant number, since it is smaller than the sum of its proper divisors (2981933636).

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

2124223420 is a wasteful number, since it uses less digits than its factorization.

2124223420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2124223420 is about 46089.2983240144. The cubic root of 2124223420 is about 1285.4841640232.

Adding to 2124223420 its reverse (243224212), we get a palindrome (2367447632).

The spelling of 2124223420 in words is "two billion, one hundred twenty-four million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 197 220 230 253 394 460 506 788 985 1012 1265 1970 2131 2167 2530 3940 4262 4334 4531 5060 8524 8668 9062 10655 10835 18124 21310 21670 22655 23441 42620 43340 45310 46882 49013 49841 90620 93764 98026 99682 117205 196052 199364 234410 245065 249205 419807 468820 490130 498410 539143 839614 980260 996820 1078286 1679228 2099035 2156572 2695715 4198070 4617877 5391430 8396140 9235754 9655561 10782860 18471508 19311122 23089385 38622244 46178770 48277805 92357540 96555610 106211171 193111220 212422342 424844684 531055855 1062111710 2124223420