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4222111140 = 22325131804321
BaseRepresentation
bin1111101110101000…
…0100110110100100
3101220020122110122200
43323222010312210
532121330024030
61534542254500
7206425231632
oct37352046644
911806573580
104222111140
1118772a9655
12999b87430
1352394b020
142c0a50352
1519a9ead60
hexfba84da4

4222111140 has 72 divisors (see below), whose sum is σ = 13792237368. Its totient is φ = 1039288320.

The previous prime is 4222111099. The next prime is 4222111141. The reversal of 4222111140 is 411112224.

It can be written as a sum of positive squares in 4 ways, for example, as 122014116 + 4100097024 = 11046^2 + 64032^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4222111141) 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 23 ways as a sum of consecutive naturals, for example, 899821 + ... + 904500.

Almost surely, 24222111140 is an apocalyptic number.

It is an amenable number.

4222111140 is an abundant number, since it is smaller than the sum of its proper divisors (9570126228).

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

4222111140 is a wasteful number, since it uses less digits than its factorization.

4222111140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804349 (or 1804344 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4222111140 is about 64977.7742001063. The cubic root of 4222111140 is about 1616.2550210419.

Adding to 4222111140 its reverse (411112224), we get a palindrome (4633223364).

It can be divided in two parts, 42221 and 11140, that added together give a square (53361 = 2312).

The spelling of 4222111140 in words is "four billion, two hundred twenty-two million, one hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 1804321 3608642 5412963 7217284 9021605 10825926 16238889 18043210 21651852 23456173 27064815 32477778 36086420 46912346 54129630 64955556 70368519 81194445 93824692 108259260 117280865 140737038 162388890 211105557 234561730 281474076 324777780 351842595 422211114 469123460 703685190 844422228 1055527785 1407370380 2111055570 4222111140