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2222041034142 = 232177921577411
BaseRepresentation
bin100000010101011011111…
…101110110110110011110
321212102110212020002012100
4200111123331312312132
5242401220001043032
64420442550545530
7316352151103566
oct40253375666636
97772425202170
102222041034142
117873a9265186
122ba7910682a6
131316cb071987
1479793d53da6
153cc0148897c
hex2055bf76d9e

2222041034142 has 144 divisors (see below), whose sum is σ = 5196553466832. Its totient is φ = 683810449920.

The previous prime is 2222041034131. The next prime is 2222041034197. The reversal of 2222041034142 is 2414301402222.

It is a happy number.

2222041034142 is a `hidden beast` number, since 22 + 220 + 4 + 1 + 0 + 3 + 414 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 299826417 + ... + 299833827.

It is an arithmetic number, because the mean of its divisors is an integer number (36087176853).

Almost surely, 22222041034142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222041034142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598276733416).

2222041034142 is an abundant number, since it is smaller than the sum of its proper divisors (2974512432690).

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

2222041034142 is a wasteful number, since it uses less digits than its factorization.

2222041034142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2222041034142 its reverse (2414301402222), we get a palindrome (4636342436364).

The spelling of 2222041034142 in words is "two trillion, two hundred twenty-two billion, forty-one million, thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 79 102 153 157 158 237 306 314 471 474 711 942 1343 1413 1422 2669 2686 2826 4029 5338 6241 7411 8007 8058 12087 12403 12482 14822 16014 18723 22233 24021 24174 24806 37209 37446 44466 48042 56169 66699 74418 106097 111627 112338 125987 133398 210851 212194 223254 251974 318291 377961 421702 585469 632553 636582 755922 954873 979837 1133883 1163527 1170938 1265106 1756407 1897659 1909746 1959674 2267766 2327054 2939511 3490581 3512814 3795318 5269221 5879022 6981162 8818533 9952973 10471743 10538442 16657229 17637066 19779959 19905946 20943486 29858919 33314458 39559918 46252051 49971687 59339877 59717838 89576757 91918633 92504102 99943374 118679754 138756153 149915061 178019631 179153514 183837266 275755899 277512306 299830122 356039262 416268459 551511798 786284867 827267697 832536918 1562616761 1572569734 1654535394 2358854601 3125233522 4687850283 4717709202 7076563803 7261572007 9375700566 14063550849 14153127606 14523144014 21784716021 28127101698 43569432042 65354148063 123446724119 130708296126 246893448238 370340172357 740680344714 1111020517071 2222041034142