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22438400483422 = 2721123904993163
BaseRepresentation
bin1010001101000010110001…
…11000111110000001011110
32221110002102201011101212101
411012201120320332001132
510420112321010432142
6115420020414555314
74504056324114100
oct506413070760136
987402381141771
1022438400483422
117171088117830
122624866b08b3a
13c69c16a41c81
1457804ac71570
1528da1aadd0b7
hex146858e3e05e

22438400483422 has 48 divisors (see below), whose sum is σ = 44569103340672. Its totient is φ = 8362136816880.

The previous prime is 22438400483407. The next prime is 22438400483437.

It is a happy number.

22438400483422 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (22438400483407) and next prime (22438400483437).

It is a super-3 number, since 3×224384004834223 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452471788 + ... + 452521375.

It is an arithmetic number, because the mean of its divisors is an integer number (928522986264).

Almost surely, 222438400483422 is an apocalyptic number.

22438400483422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22438400483422 is a deficient number, since it is larger than the sum of its proper divisors (22130702857250).

22438400483422 is a wasteful number, since it uses less digits than its factorization.

22438400483422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904993213 (or 904993206 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

The spelling of 22438400483422 in words is "twenty-two trillion, four hundred thirty-eight billion, four hundred million, four hundred eighty-three thousand, four hundred twenty-two".

Divisors: 1 2 7 11 14 22 23 46 49 77 98 154 161 253 322 506 539 1078 1127 1771 2254 3542 12397 24794 904993163 1809986326 6334952141 9954924793 12669904282 19909849586 20814842749 41629685498 44344664987 69684473551 88689329974 139368947102 145703899243 228963270239 291407798486 457926540478 487791314857 975582629714 1019927294701 1602742891673 2039854589402 3205485783346 11219200241711 22438400483422