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222010020112 = 2431253893061
BaseRepresentation
bin1100111011000011010…
…1000001000100010000
3210020001021000112222111
43032300311001010100
512114134031120422
6245553501115104
722016421014566
oct3166065010420
9706037015874
10222010020112
1186176961071
123703a858a94
1317c2126bc0a
14aa6130da36
155b958d1a77
hex33b0d41110

222010020112 has 120 divisors (see below), whose sum is σ = 458091673560. Its totient is φ = 104179046400.

The previous prime is 222010020097. The next prime is 222010020131. The reversal of 222010020112 is 211020010222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76052402176 + 145957617936 = 275776^2 + 382044^2 .

It is a super-3 number, since 3×2220100201123 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222010020092 and 222010020101.

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, 72527062 + ... + 72530122.

It is an arithmetic number, because the mean of its divisors is an integer number (3817430613).

Almost surely, 2222010020112 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 222010020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229045836780).

222010020112 is an abundant number, since it is smaller than the sum of its proper divisors (236081653448).

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

222010020112 is a wasteful number, since it uses less digits than its factorization.

222010020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 222010020112 its reverse (211020010222), we get a palindrome (433030030334).

The spelling of 222010020112 in words is "two hundred twenty-two billion, ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 53 62 89 106 124 178 212 248 356 424 496 712 848 961 1424 1643 1922 2759 3061 3286 3844 4717 5518 6122 6572 7688 9434 11036 12244 13144 15376 18868 22072 24488 26288 37736 44144 48976 50933 75472 85529 94891 101866 146227 162233 171058 189782 203732 272429 292454 324466 342116 379564 407464 544858 584908 648932 684232 759128 814928 1089716 1169816 1297864 1368464 1518256 2179432 2339632 2595728 2941621 4358864 4533037 5029223 5883242 8445299 9066074 10058446 11766484 14438737 16890598 18132148 20116892 23532968 28877474 33781196 36264296 40233784 47065936 57754948 67562392 72528592 80467568 115509896 135124784 155905913 231019792 261804269 311811826 447600847 523608538 623623652 895201694 1047217076 1247247304 1790403388 2094434152 2494494608 3580806776 4188868304 7161613552 13875626257 27751252514 55502505028 111005010056 222010020112