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4228319560 = 235176218117
BaseRepresentation
bin1111110000000111…
…0000100101001000
3101220200022220000011
43330001300211020
532124422211220
61535323321304
7206532060163
oct37401604510
911820286004
104228319560
11187a85a083
129a0080234
13525012b4a
142c17c8ada
1519b32565a
hexfc070948

4228319560 has 32 divisors (see below), whose sum is σ = 10073351160. Its totient is φ = 1591837696.

The previous prime is 4228319551. The next prime is 4228319569. The reversal of 4228319560 is 659138224.

It is an interprime number because it is at equal distance from previous prime (4228319551) and next prime (4228319569).

It can be written as a sum of positive squares in 4 ways, for example, as 2558943396 + 1669376164 = 50586^2 + 40858^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4228319569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3108379 + ... + 3109738.

Almost surely, 24228319560 is an apocalyptic number.

4228319560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4228319560 is an abundant number, since it is smaller than the sum of its proper divisors (5845031600).

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

4228319560 is a wasteful number, since it uses less digits than its factorization.

4228319560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6218145 (or 6218141 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 4228319560 is about 65025.5300631990. The cubic root of 4228319560 is about 1617.0468425825.

The spelling of 4228319560 in words is "four billion, two hundred twenty-eight million, three hundred nineteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 6218117 12436234 24872468 31090585 49744936 62181170 105707989 124362340 211415978 248724680 422831956 528539945 845663912 1057079890 2114159780 4228319560