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4220008940 = 2257178871999
BaseRepresentation
bin1111101110001000…
…0011100111101100
3101220002200122222102
43323202003213230
532120310241230
61534425234232
7206401325030
oct37342034754
911802618872
104220008940
1118760a31a4
12999332978
13523393214
142c06641c0
1519a733045
hexfb8839ec

4220008940 has 96 divisors (see below), whose sum is σ = 10741248000. Its totient is φ = 1359535104.

The previous prime is 4220008901. The next prime is 4220008997. The reversal of 4220008940 is 498000224.

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, 2110061 + ... + 2112059.

It is an arithmetic number, because the mean of its divisors is an integer number (111888000).

Almost surely, 24220008940 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 4220008940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624000).

4220008940 is an abundant number, since it is smaller than the sum of its proper divisors (6521239060).

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

4220008940 is a wasteful number, since it uses less digits than its factorization.

4220008940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4220008940 is about 64961.5958855692. The cubic root of 4220008940 is about 1615.9867306650.

The spelling of 4220008940 in words is "four billion, two hundred twenty million, eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 887 1190 1774 1999 2380 3548 3998 4435 6209 7996 8870 9995 12418 13993 15079 17740 19990 24836 27986 30158 31045 33983 39980 55972 60316 62090 67966 69965 75395 105553 124180 135932 139930 150790 169915 211106 237881 279860 301580 339830 422212 475762 527765 679660 951524 1055530 1189405 1773113 2111060 2378810 3546226 4757620 7092452 8865565 12411791 17731130 24823582 30142921 35462260 49647164 60285842 62058955 120571684 124117910 150714605 211000447 248235820 301429210 422000894 602858420 844001788 1055002235 2110004470 4220008940