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4222743560 = 2357217126733
BaseRepresentation
bin1111101110110001…
…1111010000001000
3101220021211121011122
43323230133100020
532122010243220
61535004014412
7206433504500
oct37354372010
911807747148
104222743560
1118776a0812
1299a231408
13523b0cb39
142c0b76a00
1519aac3425
hexfbb1f408

4222743560 has 96 divisors (see below), whose sum is σ = 11702617560. Its totient is φ = 1362622464.

The previous prime is 4222743533. The next prime is 4222743601. The reversal of 4222743560 is 653472224.

It can be written as a sum of positive squares in 4 ways, for example, as 3595441444 + 627302116 = 59962^2 + 25046^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4222743560.

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 23 ways as a sum of consecutive naturals, for example, 30047 + ... + 96686.

Almost surely, 24222743560 is an apocalyptic number.

4222743560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4222743560 is an abundant number, since it is smaller than the sum of its proper divisors (7479874000).

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

4222743560 is a wasteful number, since it uses less digits than its factorization.

4222743560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126775 (or 126764 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 4222743560 is about 64982.6404511236. The cubic root of 4222743560 is about 1616.3357153467.

The spelling of 4222743560 in words is "four billion, two hundred twenty-two million, seven hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6664 8330 16660 33320 126733 253466 506932 633665 887131 1013864 1267330 1774262 2154461 2534660 3548524 4308922 4435655 5069320 6209917 7097048 8617844 8871310 10772305 12419834 15081227 17235688 17742620 21544610 24839668 30162454 31049585 35485240 43089220 49679336 60324908 62099170 75406135 86178440 105568589 120649816 124198340 150812270 211137178 248396680 301624540 422274356 527842945 603249080 844548712 1055685890 2111371780 4222743560