Search a number
-
+
4222535720 = 2351329280009
BaseRepresentation
bin1111101110101110…
…1100100000101000
3101220021110001001212
43323223230200220
532121432120340
61534555332252
7206431650524
oct37353544050
911807401055
104222535720
111877569647
1299a151088
13523a69360
142c0b20d84
1519aa81a65
hexfbaec828

4222535720 has 64 divisors (see below), whose sum is σ = 10584378000. Its totient is φ = 1505323008.

The previous prime is 4222535711. The next prime is 4222535729. The reversal of 4222535720 is 275352224.

It is an interprime number because it is at equal distance from previous prime (4222535711) and next prime (4222535729).

It can be written as a sum of positive squares in 8 ways, for example, as 2416115716 + 1806420004 = 49154^2 + 42502^2 .

It is not an unprimeable number, because it can be changed into a prime (4222535729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124925 + ... + 155084.

Almost surely, 24222535720 is an apocalyptic number.

4222535720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222535720 is an abundant number, since it is smaller than the sum of its proper divisors (6361842280).

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

4222535720 is a wasteful number, since it uses less digits than its factorization.

4222535720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280062 (or 280058 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 4222535720 is about 64981.0412351172. The cubic root of 4222535720 is about 1616.3091966690.

Adding to 4222535720 its reverse (275352224), we get a palindrome (4497887944).

The spelling of 4222535720 in words is "four billion, two hundred twenty-two million, five hundred thirty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 280009 560018 1120036 1400045 2240072 2800090 3640117 5600180 7280234 8120261 11200360 14560468 16240522 18200585 29120936 32481044 36401170 40601305 64962088 72802340 81202610 105563393 145604680 162405220 211126786 324810440 422253572 527816965 844507144 1055633930 2111267860 4222535720