Search a number
-
+
222330011232 = 2537252390371
BaseRepresentation
bin1100111100001111100…
…1101011111001100000
3210020212120010210021110
43033003321223321200
512120312440324412
6250045331423320
722030354625400
oct3170371537140
9706776123243
10222330011232
118632054a13a
1237109a54b40
1317c72649084
14aa91a08800
155bb3a3dd3c
hex33c3e6be60

222330011232 has 144 divisors (see below), whose sum is σ = 680206185792. Its totient is φ = 63400700160.

The previous prime is 222330011213. The next prime is 222330011261. The reversal of 222330011232 is 232110033222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 222330011199 and 222330011208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2415007 + ... + 2505377.

It is an arithmetic number, because the mean of its divisors is an integer number (4723654068).

Almost surely, 2222330011232 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 222330011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340103092896).

222330011232 is an abundant number, since it is smaller than the sum of its proper divisors (457876174560).

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

222330011232 is a wasteful number, since it uses less digits than its factorization.

222330011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90921 (or 90906 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 222330011232 its reverse (232110033222), we get a palindrome (454440044454).

The spelling of 222330011232 in words is "two hundred twenty-two billion, three hundred thirty million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 523 588 672 784 1046 1176 1568 1569 2092 2352 3138 3661 4184 4704 6276 7322 8368 10983 12552 14644 16736 21966 25104 25627 29288 43932 50208 51254 58576 76881 87864 90371 102508 117152 153762 175728 180742 205016 271113 307524 351456 361484 410032 542226 615048 632597 722968 820064 1084452 1230096 1265194 1445936 1897791 2168904 2460192 2530388 2891872 3795582 4337808 4428179 5060776 7591164 8675616 8856358 10121552 13284537 15182328 17712716 20243104 26569074 30364656 35425432 47264033 53138148 60729312 70850864 94528066 106276296 141701728 141792099 189056132 212552592 283584198 330848231 378112264 425105184 567168396 661696462 756224528 992544693 1134336792 1323392924 1512449056 1985089386 2268673584 2315937617 2646785848 3970178772 4537347168 4631875234 5293571696 6947812851 7940357544 9263750468 10587143392 13895625702 15880715088 18527500936 27791251404 31761430176 37055001872 55582502808 74110003744 111165005616 222330011232