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34222200222243 = 31131281119049061
BaseRepresentation
bin1111100011111111110100…
…00101100111001000100011
311111011121110222022021200010
413301333322011213020203
513441144031224102433
6200441243423100003
710131321011206335
oct761777205471043
9144147428267603
1034222200222243
11a9a460a944430
123a085a9741603
1316131a7a10317
14864512d8b455
153e52e81d6e63
hex1f1ffa167223

34222200222243 has 32 divisors (see below), whose sum is σ = 51566339303424. Its totient is φ = 20000242080000.

The previous prime is 34222200222233. The next prime is 34222200222251.

It is a happy number.

34222200222243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34222200222243 - 26 = 34222200222179 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34222200222243.

It is not an unprimeable number, because it can be changed into a prime (34222200222233) 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, 59237068 + ... + 59811993.

It is an arithmetic number, because the mean of its divisors is an integer number (1611448103232).

Almost surely, 234222200222243 is an apocalyptic number.

34222200222243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34222200222243 is a deficient number, since it is larger than the sum of its proper divisors (17344139081181).

34222200222243 is a wasteful number, since it uses less digits than its factorization.

34222200222243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119049387.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 34222200 and 222243, that added together give a palindrome (34444443).

The spelling of 34222200222243 in words is "thirty-four trillion, two hundred twenty-two billion, two hundred million, two hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 3 11 31 33 93 281 341 843 1023 3091 8711 9273 26133 95821 287463 119049061 357147183 1309539671 3690520891 3928619013 11071562673 33452786141 40595729801 100358358423 121787189403 367980647551 1037036370371 1103941942653 3111109111113 11407400074081 34222200222243