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4422401340 = 2235731133857
BaseRepresentation
bin1000001111001100…
…00111110100111100
3102102012112021011020
410013212013310330
533024113320330
62010455224140
7214406535240
oct40746076474
912365467136
104422401340
11196a36a645
12a35078050
135562a7436
142dd4aa420
151ad3b1210
hex107987d3c

4422401340 has 96 divisors (see below), whose sum is σ = 14197607424. Its totient is φ = 1007554560.

The previous prime is 4422401311. The next prime is 4422401351. The reversal of 4422401340 is 431042244.

It is a happy number.

It is a super-2 number, since 2×44224013402 = 39115267224067591200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4422401340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113692 + ... + 147548.

It is an arithmetic number, because the mean of its divisors is an integer number (147891744).

Almost surely, 24422401340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098803712).

4422401340 is an abundant number, since it is smaller than the sum of its proper divisors (9775206084).

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

4422401340 is a wasteful number, since it uses less digits than its factorization.

4422401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34187 (or 34185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4422401340 is about 66501.1378850016. The cubic root of 4422401340 is about 1641.4187282147.

Adding to 4422401340 its reverse (431042244), we get a palindrome (4853443584).

The spelling of 4422401340 in words is "four billion, four hundred twenty-two million, four hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 311 420 622 933 1244 1555 1866 2177 3110 3732 4354 4665 6220 6531 8708 9330 10885 13062 18660 21770 26124 32655 33857 43540 65310 67714 101571 130620 135428 169285 203142 236999 338570 406284 473998 507855 677140 710997 947996 1015710 1184995 1421994 2031420 2369990 2843988 3554985 4739980 7109970 10529527 14219940 21059054 31588581 42118108 52647635 63177162 73706689 105295270 126354324 147413378 157942905 210590540 221120067 294826756 315885810 368533445 442240134 631771620 737066890 884480268 1105600335 1474133780 2211200670 4422401340