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20022311333440 = 265134813055609
BaseRepresentation
bin1001000110101110011101…
…10000010010111001000000
32121220010002022011200022201
410203113032300102321000
510111021143200132230
6110330042311242544
74134364353152143
oct443271660227100
977803068150281
1020022311333440
11641a461849089
1222b455b679454
13b231327a12a0
144d31294c205a
1524ac5d9b15ca
hex1235cec12e40

20022311333440 has 56 divisors (see below), whose sum is σ = 51345677247480. Its totient is φ = 7392853413888.

The previous prime is 20022311333333. The next prime is 20022311333477. The reversal of 20022311333440 is 4433311322002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3328026706944 + 16694284626496 = 1824288^2 + 4085864^2 .

It is a super-2 number, since 2×200223113334402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20022311333399 and 20022311333408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2406523645 + ... + 2406531964.

It is an arithmetic number, because the mean of its divisors is an integer number (916887093705).

Almost surely, 220022311333440 is an apocalyptic number.

20022311333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022311333440 is an abundant number, since it is smaller than the sum of its proper divisors (31323365914040).

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

20022311333440 is a wasteful number, since it uses less digits than its factorization.

20022311333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813055639 (or 4813055629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 20022311333440 its reverse (4433311322002), we get a palindrome (24455622655442).

The spelling of 20022311333440 in words is "twenty trillion, twenty-two billion, three hundred eleven million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 4813055609 9626111218 19252222436 24065278045 38504444872 48130556090 62569722917 77008889744 96261112180 125139445834 154017779488 192522224360 250278891668 308035558976 312848614585 385044448720 500557783336 625697229170 770088897440 1001115566672 1251394458340 1540177794880 2002231133344 2502788916680 4004462266688 5005577833360 10011155666720 20022311333440