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22314166141322 = 21117321127786217
BaseRepresentation
bin1010001001011011010111…
…11100100100000110001010
32221000012202121022220222202
411010231223330210012022
510411043403013010242
6115242553021520202
74462100560456016
oct504555374440612
987005677286882
1022314166141322
11712342606a830
122604775113062
13c5b2a8516743
14572023413546
1528a699022932
hex144b6bf2418a

22314166141322 has 32 divisors (see below), whose sum is σ = 36899208345024. Its totient is φ = 10036381219200.

The previous prime is 22314166141291. The next prime is 22314166141349.

22314166141322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×223141661413223 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13090043 + ... + 14696174.

It is an arithmetic number, because the mean of its divisors is an integer number (1153100260782).

Almost surely, 222314166141322 is an apocalyptic number.

22314166141322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22314166141322 is a deficient number, since it is larger than the sum of its proper divisors (14585042203702).

22314166141322 is a wasteful number, since it uses less digits than its factorization.

22314166141322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27786614.

The product of its digits is 82944, while the sum is 38.

It can be divided in two parts, 2231416 and 6141322, that added together give a palindrome (8372738).

The spelling of 22314166141322 in words is "twenty-two trillion, three hundred fourteen billion, one hundred sixty-six million, one hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 11 22 173 211 346 422 1903 2321 3806 4642 36503 73006 401533 803066 27786217 55572434 305648387 611296774 4807015541 5862891787 9614031082 11725783574 52877170951 64491809657 105754341902 128983619314 1014280279151 2028560558302 11157083070661 22314166141322