Search a number
-
+
222001111112 = 2311294715711789
BaseRepresentation
bin1100111011000001001…
…1000010000001001000
3210020000122020221010112
43032300103002001020
512114124241023422
6245552542133452
722016252211044
oct3166023020110
9706018227115
10222001111112
1186171926660
1237037881288
1317c1c46cb11
14aa60071024
155b94c21ee2
hex33b04c2048

222001111112 has 128 divisors (see below), whose sum is σ = 482842944000. Its totient is φ = 94741570560.

The previous prime is 222001111093. The next prime is 222001111187. The reversal of 222001111112 is 211111100222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18825314 + ... + 18837102.

It is an arithmetic number, because the mean of its divisors is an integer number (3772210500).

Almost surely, 2222001111112 is an apocalyptic number.

222001111112 is a gapful number since it is divisible by the number (22) 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 222001111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241421472000).

222001111112 is an abundant number, since it is smaller than the sum of its proper divisors (260841832888).

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

222001111112 is a wasteful number, since it uses less digits than its factorization.

222001111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12039 (or 12035 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 222001111112 its reverse (211111100222), we get a palindrome (433112211334).

The spelling of 222001111112 in words is "two hundred twenty-two billion, one million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 47 58 88 94 116 157 188 232 314 319 376 517 628 638 1034 1256 1276 1363 1727 2068 2552 2726 3454 4136 4553 5452 6908 7379 9106 10904 11789 13816 14758 14993 18212 23578 29516 29986 36424 47156 50083 59032 59972 81169 94312 100166 119944 129679 162338 200332 213991 259358 324676 341881 400664 427982 518716 554083 649352 683762 855964 1037432 1108166 1367524 1711928 1850873 2216332 2353901 2735048 3701746 3760691 4432664 4707802 6094913 7403492 7521382 9415604 12189826 14806984 15042764 16068407 18831208 20359603 24379652 30085528 32136814 40719206 48759304 53675317 64273628 81438412 86991031 107350634 128547256 162876824 173982062 176752477 214701268 347964124 353504954 429402536 590428487 695928248 707009908 956901341 1180856974 1414019816 1913802682 2361713948 2522739899 3827605364 4723427896 5045479798 7655210728 10090959596 20181919192 27750138889 55500277778 111000555556 222001111112