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4226214336 = 26379278627
BaseRepresentation
bin1111101111100110…
…1110100111000000
3101220112100221011220
43323321232213000
532123402324321
61535210235040
7206505141411
oct37371564700
911815327156
104226214336
111879651423
1299b425a80
13524756856
142c13db808
1519b05b9c6
hexfbe6e9c0

4226214336 has 56 divisors (see below), whose sum is σ = 11323441920. Its totient is φ = 1390900992.

The previous prime is 4226214301. The next prime is 4226214353. The reversal of 4226214336 is 6334126224.

It is a super-2 number, since 2×42262143362 = 35721775227623841792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4226214297 and 4226214306.

It is a congruent number.

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, 124146 + ... + 154481.

It is an arithmetic number, because the mean of its divisors is an integer number (202204320).

Almost surely, 24226214336 is an apocalyptic number.

It is an amenable number.

4226214336 is an abundant number, since it is smaller than the sum of its proper divisors (7097227584).

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

4226214336 is a wasteful number, since it uses less digits than its factorization.

4226214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278721 (or 278711 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 4226214336 is about 65009.3403750569. The cubic root of 4226214336 is about 1616.7784293349.

The spelling of 4226214336 in words is "four billion, two hundred twenty-six million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1896 2528 3792 5056 7584 15168 278627 557254 835881 1114508 1671762 2229016 3343524 4458032 6687048 8916064 13374096 17832128 22011533 26748192 44023066 53496384 66034599 88046132 132069198 176092264 264138396 352184528 528276792 704369056 1056553584 1408738112 2113107168 4226214336