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20422343232 = 263261581237
BaseRepresentation
bin10011000001010001…
…000011101001000000
31221201021020112020200
4103001101003221000
5313311104440412
613214253405200
71322041024164
oct230121035100
957637215220
1020422343232
11872a975815
123b5b499800
131c06040085
14dba424ca4
157e7d949dc
hex4c1443a40

20422343232 has 84 divisors (see below), whose sum is σ = 59496684156. Its totient is φ = 6695838720.

The previous prime is 20422343203. The next prime is 20422343261. The reversal of 20422343232 is 23234322402.

It is a happy number.

20422343232 is a `hidden beast` number, since 2 + 0 + 4 + 223 + 432 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20422343203) and next prime (20422343261).

It can be written as a sum of positive squares in 2 ways, for example, as 10829316096 + 9593027136 = 104064^2 + 97944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20422343196 and 20422343205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255483 + ... + 325754.

It is an arithmetic number, because the mean of its divisors is an integer number (708293859).

Almost surely, 220422343232 is an apocalyptic number.

It is an amenable number.

20422343232 is an abundant number, since it is smaller than the sum of its proper divisors (39074340924).

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

20422343232 is a wasteful number, since it uses less digits than its factorization.

20422343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581316 (or 581303 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 20422343232 its reverse (23234322402), we get a palindrome (43656665634).

The spelling of 20422343232 in words is "twenty billion, four hundred twenty-two million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 17568 35136 581237 1162474 1743711 2324948 3487422 4649896 5231133 6974844 9299792 10462266 13949688 18599584 20924532 27899376 35455457 37199168 41849064 55798752 70910914 83698128 106366371 111597504 141821828 167396256 212732742 283643656 319099113 334792512 425465484 567287312 638198226 850930968 1134574624 1276396452 1701861936 2269149248 2552792904 3403723872 5105585808 6807447744 10211171616 20422343232