Search a number
-
+
2434005222 = 2311192384391
BaseRepresentation
bin1001000100010011…
…1111100011100110
320021122000021110120
42101010333203212
514441101131342
61041305102410
7114213463065
oct22104774346
96248007416
102434005222
111039a29170
1257b187a06
132ca36399c
141913921dc
15e3a41aec
hex9113f8e6

2434005222 has 64 divisors (see below), whose sum is σ = 5833175040. Its totient is φ = 668368800.

The previous prime is 2434005193. The next prime is 2434005229. The reversal of 2434005222 is 2225004342.

It is a happy number.

2434005222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2434005192 and 2434005201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434005229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13354 + ... + 71037.

It is an arithmetic number, because the mean of its divisors is an integer number (91143360).

Almost surely, 22434005222 is an apocalyptic number.

2434005222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2434005222 is an abundant number, since it is smaller than the sum of its proper divisors (3399169818).

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

2434005222 is a wasteful number, since it uses less digits than its factorization.

2434005222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84449.

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2434005222 is about 49335.6384574072. The cubic root of 2434005222 is about 1345.1596613529.

Adding to 2434005222 its reverse (2225004342), we get a palindrome (4659009564).

The spelling of 2434005222 in words is "two billion, four hundred thirty-four million, five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2622 4807 9614 14421 28842 84391 168782 253173 506346 928301 1603429 1856602 1940993 2784903 3206858 3881986 4810287 5569806 5822979 9620574 11645958 17637719 21350923 35275438 36878867 42701846 52913157 64052769 73757734 105826314 110636601 128105538 221273202 405667537 811335074 1217002611 2434005222