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22240031041044 = 2233617334605511
BaseRepresentation
bin1010000111010001010010…
…01001100110011000010100
32220202010102000001121221000
411003220221021212120110
510403340040421303134
6115144532413223300
74453534462510305
oct503505111463024
986663360047830
1022240031041044
1170a4a427a9713
1225b2325491b30
13c542c24975bb
1456c5cd55a7ac
152887aa8a1e99
hex143a29266614

22240031041044 has 96 divisors (see below), whose sum is σ = 58684539226880. Its totient is φ = 7281863971200.

The previous prime is 22240031041043. The next prime is 22240031041099. The reversal of 22240031041044 is 44014013004222.

22240031041044 is a `hidden beast` number, since 2 + 2 + 240 + 0 + 3 + 1 + 0 + 410 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22240031040999 and 22240031041017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240031041043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2526249 + ... + 7131759.

Almost surely, 222240031041044 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 22240031041044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29342269613440).

22240031041044 is an abundant number, since it is smaller than the sum of its proper divisors (36444508185836).

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

22240031041044 is a wasteful number, since it uses less digits than its factorization.

22240031041044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606318 (or 4606310 counting only the distinct ones).

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

Adding to 22240031041044 its reverse (44014013004222), we get a palindrome (66254044045266).

The spelling of 22240031041044 in words is "twenty-two trillion, two hundred forty billion, thirty-one million, forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 549 732 733 1098 1466 1647 2196 2199 2932 3294 4398 6588 6597 8796 13194 19791 26388 39582 44713 79164 89426 134139 178852 268278 402417 536556 804834 1207251 1609668 2414502 4605511 4829004 9211022 13816533 18422044 27633066 41449599 55266132 82899198 124348797 165798396 248697594 280936171 497395188 561872342 842808513 1123744684 1685617026 2528425539 3371234052 3375839563 5056851078 6751679126 7585276617 10113702156 10127518689 13503358252 15170553234 20255037378 30341106468 30382556067 40510074756 60765112134 91147668201 121530224268 182295336402 205926213343 364590672804 411852426686 617778640029 823704853372 1235557280058 1853335920087 2471114560116 3706671840174 5560007760261 7413343680348 11120015520522 22240031041044