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220213103232 = 2731991932843
BaseRepresentation
bin1100110100010110111…
…0010100101010000000
3210001102000210201102110
43031011232110222000
512101444023300412
6245055311015320
721624041331063
oct3150556245200
9701360721373
10220213103232
11854346128a1
1236818b0a540
13179c5bbb2a5
14a9307da8da
155adcc86d3c
hex3345b94a80

220213103232 has 128 divisors (see below), whose sum is σ = 616416192000. Its totient is φ = 69463194624.

The previous prime is 220213103219. The next prime is 220213103249. The reversal of 220213103232 is 232301312022.

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 = 220213103199 and 220213103208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6688603 + ... + 6721445.

It is an arithmetic number, because the mean of its divisors is an integer number (4815751500).

Almost surely, 2220213103232 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 220213103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308208096000).

220213103232 is an abundant number, since it is smaller than the sum of its proper divisors (396203088768).

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

220213103232 is a wasteful number, since it uses less digits than its factorization.

220213103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33798 (or 33786 counting only the distinct ones).

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

Adding to 220213103232 its reverse (232301312022), we get a palindrome (452514415254).

The spelling of 220213103232 in words is "two hundred twenty billion, two hundred thirteen million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 919 1216 1824 1838 2432 2757 3648 3676 5514 7296 7352 11028 14704 17461 22056 29408 32843 34922 44112 52383 58816 65686 69844 88224 98529 104766 117632 131372 139688 176448 197058 209532 262744 279376 352896 394116 419064 525488 558752 624017 788232 838128 1050976 1117504 1248034 1576464 1676256 1872051 2101952 2235008 2496068 3152928 3352512 3744102 4203904 4992136 6305856 6705024 7488204 9984272 12611712 14976408 19968544 29952816 30182717 39937088 59905632 60365434 79874176 90548151 119811264 120730868 181096302 239622528 241461736 362192604 482923472 573471623 724385208 965846944 1146943246 1448770416 1720414869 1931693888 2293886492 2897540832 3440829738 3863387776 4587772984 5795081664 6881659476 9175545968 11590163328 13763318952 18351091936 27526637904 36702183872 55053275808 73404367744 110106551616 220213103232