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4222123808 = 257217158393
BaseRepresentation
bin1111101110101000…
…0111111100100000
3101220020200010000212
43323222013330200
532121330430213
61534542433252
7206425313600
oct37352077440
911806603025
104222123808
111877308121
12999b92828
13523953a16
142c0a54c00
1519a9ee9a8
hexfba87f20

4222123808 has 72 divisors (see below), whose sum is σ = 10238271372. Its totient is φ = 1703030784.

The previous prime is 4222123793. The next prime is 4222123811. The reversal of 4222123808 is 8083212224.

It can be written as a sum of positive squares in 2 ways, for example, as 3356116624 + 866007184 = 57932^2 + 29428^2 .

It is a super-3 number, since 3×42221238083 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52541 + ... + 105852.

Almost surely, 24222123808 is an apocalyptic number.

It is an amenable number.

4222123808 is an abundant number, since it is smaller than the sum of its proper divisors (6016147564).

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

4222123808 is a wasteful number, since it uses less digits than its factorization.

4222123808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158434 (or 158419 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4222123808 is about 64977.8716795187. The cubic root of 4222123808 is about 1616.2566375080.

The spelling of 4222123808 in words is "four billion, two hundred twenty-two million, one hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1666 1904 3332 3808 6664 13328 26656 158393 316786 633572 1108751 1267144 2217502 2534288 2692681 4435004 5068576 5385362 7761257 8870008 10770724 15522514 17740016 18848767 21541448 31045028 35480032 37697534 43082896 62090056 75395068 86165792 124180112 131941369 150790136 248360224 263882738 301580272 527765476 603160544 1055530952 2111061904 4222123808