Search a number
-
+
222044424240 = 243517419129887
BaseRepresentation
bin1100111011001011100…
…0010000100000110000
3210020010122202110120110
43032302320100200300
512114221333033430
6250001130341320
722020316315302
oct3166270204060
9706118673513
10222044424240
118619431a431
123704a28a840
1317c284266a2
14aa65b07972
155b9892a7b0
hex33b2e10830

222044424240 has 160 divisors (see below), whose sum is σ = 730573240320. Its totient is φ = 55595364352.

The previous prime is 222044424233. The next prime is 222044424271. The reversal of 222044424240 is 42424440222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222044424198 and 222044424207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644577 + ... + 1774463.

It is an arithmetic number, because the mean of its divisors is an integer number (4566082752).

Almost surely, 2222044424240 is an apocalyptic number.

222044424240 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 222044424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365286620160).

222044424240 is an abundant number, since it is smaller than the sum of its proper divisors (508528816080).

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

222044424240 is a wasteful number, since it uses less digits than its factorization.

222044424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130339 (or 130333 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 222044424240 its reverse (42424440222), we get a palindrome (264468864462).

It can be divided in two parts, 22204 and 4424240, that added together give a palindrome (4446444).

The spelling of 222044424240 in words is "two hundred twenty-two billion, forty-four million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 419 510 680 816 838 1020 1257 1360 1676 2040 2095 2514 3352 4080 4190 5028 6285 6704 7123 8380 10056 12570 14246 16760 20112 21369 25140 28492 33520 35615 42738 50280 56984 71230 85476 100560 106845 113968 129887 142460 170952 213690 259774 284920 341904 389661 427380 519548 569840 649435 779322 854760 1039096 1298870 1558644 1709520 1948305 2078192 2208079 2597740 3117288 3896610 4416158 5195480 6234576 6624237 7793220 8832316 10390960 11040395 13248474 15586440 17664632 22080790 26496948 31172880 33121185 35329264 44161580 52993896 54422653 66242370 88323160 105987792 108845306 132484740 163267959 176646320 217690612 264969480 272113265 326535918 435381224 529938960 544226530 653071836 816339795 870762448 925185101 1088453060 1306143672 1632679590 1850370202 2176906120 2612287344 2775555303 3265359180 3700740404 4353812240 4625925505 5551110606 6530718360 7401480808 9251851010 11102221212 13061436720 13877776515 14802961616 18503702020 22204442424 27755553030 37007404040 44408884848 55511106060 74014808080 111022212120 222044424240