Search a number
-
+
222301103232 = 27313223919889
BaseRepresentation
bin1100111100001000101…
…1011010010010000000
3210020210112202002221210
43033002023122102000
512120233040300412
6250042420050120
722026554125455
oct3170213322200
9706715662853
10222301103232
11863061a512a
1237100233940
1317c69667150
14aa8bc4182c
155bb122d83c
hex33c22da480

222301103232 has 128 divisors (see below), whose sum is σ = 636225408000. Its totient is φ = 68366352384.

The previous prime is 222301103203. The next prime is 222301103239. The reversal of 222301103232 is 232301103222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 222301103199 and 222301103208.

It is not an unprimeable number, because it can be changed into a prime (222301103239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11167144 + ... + 11187032.

It is an arithmetic number, because the mean of its divisors is an integer number (4970511000).

Almost surely, 2222301103232 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 222301103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318112704000).

222301103232 is an abundant number, since it is smaller than the sum of its proper divisors (413924304768).

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

222301103232 is a wasteful number, since it uses less digits than its factorization.

222301103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22158 (or 22146 counting only the distinct ones).

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

Adding to 222301103232 its reverse (232301103222), we get a palindrome (454602206454).

The spelling of 222301103232 in words is "two hundred twenty-two billion, three hundred one million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2239 2496 4478 4992 6717 8956 13434 17912 19889 26868 29107 35824 39778 53736 58214 59667 71648 79556 87321 107472 116428 119334 143296 159112 174642 214944 232856 238668 258557 286592 318224 349284 429888 465712 477336 517114 636448 698568 775671 859776 931424 954672 1034228 1272896 1397136 1551342 1862848 1909344 2068456 2545792 2794272 3102684 3725696 3818688 4136912 5588544 6205368 7637376 8273824 11177088 12410736 16547648 24821472 33095296 44531471 49642944 89062942 99285888 133594413 178125884 267188826 356251768 534377652 578909123 712503536 1068755304 1157818246 1425007072 1736727369 2137510608 2315636492 2850014144 3473454738 4275021216 4631272984 5700028288 6946909476 8550042432 9262545968 13893818952 17100084864 18525091936 27787637904 37050183872 55575275808 74100367744 111150551616 222301103232