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222334223412040 = 23517219233064309
BaseRepresentation
bin110010100011011000111000…
…011010000110101101001000
31002011012221111022020220110121
4302203120320122012231020
5213120210442143141130
62104510533204153024
764555055215066465
oct6243307032065510
91064187438226417
10222334223412040
116492a461969473
1220b29a41698774
13970a047cb2b3c
143cc9068b8a66c
151aa8653d91d7a
hexca3638686b48

222334223412040 has 48 divisors (see below), whose sum is σ = 531409566885300. Its totient is φ = 83702295868416.

The previous prime is 222334223412031. The next prime is 222334223412113. The reversal of 222334223412040 is 40214322433222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 200981488118436 + 21352735293604 = 14176794^2 + 4620902^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 222334223411987 and 222334223412005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9616520595 + ... + 9616543714.

Almost surely, 2222334223412040 is an apocalyptic number.

222334223412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222334223412040 is an abundant number, since it is smaller than the sum of its proper divisors (309075343473260).

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

222334223412040 is a wasteful number, since it uses less digits than its factorization.

222334223412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19233064354 (or 19233064333 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 222334223412040 its reverse (40214322433222), we get a palindrome (262548545845262).

The spelling of 222334223412040 in words is "two hundred twenty-two trillion, three hundred thirty-four billion, two hundred twenty-three million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 19233064309 38466128618 76932257236 96165321545 153864514472 192330643090 326962093253 384661286180 653924186506 769322572360 1307848373012 1634810466265 2615696746024 3269620932530 5558355585301 6539241865060 11116711170602 13078483730120 22233422341204 27791777926505 44466844682408 55583555853010 111167111706020 222334223412040