Search a number
-
+
2024220024 = 233319493231
BaseRepresentation
bin111100010100111…
…0010010101111000
312020001221000212000
41320221302111320
513121200020044
6532510021000
7101106405051
oct17051622570
95201830760
102024220024
1194968a512
12485aa7760
132634a7538
14152ba1728
15bca98d69
hex78a72578

2024220024 has 64 divisors (see below), whose sum is σ = 5918784000. Its totient is φ = 639226080.

The previous prime is 2024220007. The next prime is 2024220047. The reversal of 2024220024 is 4200224202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2024219979 and 2024220006.

It is a congruent number.

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, 242512 + ... + 250719.

It is an arithmetic number, because the mean of its divisors is an integer number (92481000).

Almost surely, 22024220024 is an apocalyptic number.

2024220024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2024220024 is an abundant number, since it is smaller than the sum of its proper divisors (3894563976).

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

2024220024 is a wasteful number, since it uses less digits than its factorization.

2024220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493265 (or 493255 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2024220024 is about 44991.3327653227. The cubic root of 2024220024 is about 1264.9865432075.

Adding to 2024220024 its reverse (4200224202), we get a palindrome (6224444226).

The spelling of 2024220024 in words is "two billion, twenty-four million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 493231 986462 1479693 1972924 2959386 3945848 4439079 5918772 8878158 9371389 11837544 13317237 17756316 18742778 26634474 28114167 35512632 37485556 53268948 56228334 74971112 84342501 106537896 112456668 168685002 224913336 253027503 337370004 506055006 674740008 1012110012 2024220024