Search a number
-
+
24220211112 = 233477348353
BaseRepresentation
bin10110100011101000…
…110001011110101000
32022111221121012120000
4112203220301132220
5344100333223422
615043203103000
71515125253246
oct264350613650
968457535500
1024220211112
11a2a97500a9
12483b371a60
13238cb0bb86
14125a99d796
1596b4ddcac
hex5a3a317a8

24220211112 has 80 divisors (see below), whose sum is σ = 67928182740. Its totient is φ = 8062792704.

The previous prime is 24220211087. The next prime is 24220211131. The reversal of 24220211112 is 21111202242.

It can be written as a sum of positive squares in 2 ways, for example, as 17708689476 + 6511521636 = 133074^2 + 80694^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476728 + ... + 525080.

Almost surely, 224220211112 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 24220211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33964091370).

24220211112 is an abundant number, since it is smaller than the sum of its proper divisors (43707971628).

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

24220211112 is a wasteful number, since it uses less digits than its factorization.

24220211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49144 (or 49131 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 24220211112 its reverse (21111202242), we get a palindrome (45331413354).

The spelling of 24220211112 in words is "twenty-four billion, two hundred twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 773 1546 2319 3092 4638 6184 6957 9276 13914 18552 20871 27828 41742 48353 55656 62613 83484 96706 125226 145059 166968 193412 250452 290118 386824 435177 500904 580236 870354 1160472 1305531 1740708 2611062 3481416 3916593 5222124 7833186 10444248 15666372 31332744 37376869 74753738 112130607 149507476 224261214 299014952 336391821 448522428 672783642 897044856 1009175463 1345567284 2018350926 2691134568 3027526389 4036701852 6055052778 8073403704 12110105556 24220211112