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4014422220 = 22351912592797
BaseRepresentation
bin1110111101000111…
…0011100011001100
3101100202211210000110
43233101303203030
531210143002340
61502203000020
7201324011604
oct35721634314
911322753013
104014422220
111780044916
12940509010
134bc901083
142a1229c04
15187673680
hexef4738cc

4014422220 has 96 divisors (see below), whose sum is σ = 11845612800. Its totient is φ = 1013001984.

The previous prime is 4014422213. The next prime is 4014422257. The reversal of 4014422220 is 222244104.

It is a super-2 number, since 2×40144222202 = 32231171520859456800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1433862 + ... + 1436658.

It is an arithmetic number, because the mean of its divisors is an integer number (123391800).

Almost surely, 24014422220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922806400).

4014422220 is an abundant number, since it is smaller than the sum of its proper divisors (7831190580).

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

4014422220 is a wasteful number, since it uses less digits than its factorization.

4014422220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4014422220 is about 63359.4682742840. The cubic root of 4014422220 is about 1589.3065842327.

Adding to 4014422220 its reverse (222244104), we get a palindrome (4236666324).

The spelling of 4014422220 in words is "four billion, fourteen million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1259 2518 2797 3777 5036 5594 6295 7554 8391 11188 12590 13985 15108 16782 18885 23921 25180 27970 33564 37770 41955 47842 53143 55940 71763 75540 83910 95684 106286 119605 143526 159429 167820 212572 239210 265715 287052 318858 358815 478420 531430 637716 717630 797145 1062860 1435260 1594290 3188580 3521423 7042846 10564269 14085692 17607115 21128538 35214230 42257076 52821345 66907037 70428460 105642690 133814074 200721111 211285380 267628148 334535185 401442222 669070370 802884444 1003605555 1338140740 2007211110 4014422220