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2440222221222 = 235231367159697
BaseRepresentation
bin100011100000101000100…
…101000010001110100110
322122021122021121202200000
4203200220211002032212
5304440033342034342
65105004515002130
7341204660434122
oct43405045021646
98567567552600
102440222221222
1186098a911325
12334b21599346
1314915bcbc6c6
1486170948582
1543720b5644c
hex238289423a6

2440222221222 has 96 divisors (see below), whose sum is σ = 5725579571712. Its totient is φ = 777467839104.

The previous prime is 2440222221197. The next prime is 2440222221317. The reversal of 2440222221222 is 2221222220442.

2440222221222 is a `hidden beast` number, since 2 + 4 + 402 + 2 + 22 + 212 + 22 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15200478 + ... + 15360174.

It is an arithmetic number, because the mean of its divisors is an integer number (59641453872).

Almost surely, 22440222221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440222221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862789785856).

2440222221222 is an abundant number, since it is smaller than the sum of its proper divisors (3285357350490).

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

2440222221222 is a wasteful number, since it uses less digits than its factorization.

2440222221222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161104 (or 161092 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 2440222221222 its reverse (2221222220442), we get a palindrome (4661444441664).

The spelling of 2440222221222 in words is "two trillion, four hundred forty billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 414 486 621 1242 1367 1863 2734 3726 4101 5589 8202 11178 12303 24606 31441 36909 62882 73818 94323 110727 159697 188646 221454 282969 319394 332181 479091 565938 664362 848907 958182 1437273 1697814 2546721 2874546 3673031 4311819 5093442 7346062 7640163 8623638 11019093 12935457 15280326 22038186 25870914 33057279 38806371 66114558 77612742 99171837 198343674 218305799 297515511 436611598 595031022 654917397 892546533 1309834794 1785093066 1964752191 3929504382 5021033377 5894256573 10042066754 11788513146 15063100131 17682769719 30126200262 35365539438 45189300393 53048309157 90378600786 106096618314 135567901179 271135802358 406703703537 813407407074 1220111110611 2440222221222