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220040040 = 233511891873
BaseRepresentation
bin11010001110110…
…00101101101000
3120100001012012010
431013120231220
5422312240130
633500115520
75311211103
oct1507305550
9510035163
10220040040
11103230380
1261835ba0
1336782a0c
142131b73a
15144b70b0
hexd1d8b68

220040040 has 128 divisors (see below), whose sum is σ = 728611200. Its totient is φ = 52715520.

The previous prime is 220040039. The next prime is 220040063. The reversal of 220040040 is 40040022.

220040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 220039998 and 220040025.

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, 116544 + ... + 118416.

It is an arithmetic number, because the mean of its divisors is an integer number (5692275).

Almost surely, 2220040040 is an apocalyptic number.

220040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364305600).

220040040 is an abundant number, since it is smaller than the sum of its proper divisors (508571160).

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

220040040 is a wasteful number, since it uses less digits than its factorization.

220040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 220040040 is about 14833.7466609080. The cubic root of 220040040 is about 603.7176947766.

Adding to 220040040 its reverse (40040022), we get a palindrome (260080062).

The spelling of 220040040 in words is "two hundred twenty million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1873 1958 2136 2670 2937 3560 3746 3916 4895 5340 5619 5874 7492 7832 9365 9790 10680 11238 11748 14685 14984 18730 19580 20603 22476 23496 28095 29370 37460 39160 41206 44952 56190 58740 61809 74920 82412 103015 112380 117480 123618 164824 166697 206030 224760 247236 309045 333394 412060 494472 500091 618090 666788 824120 833485 1000182 1236180 1333576 1666970 1833667 2000364 2472360 2500455 3333940 3667334 4000728 5000910 5501001 6667880 7334668 9168335 10001820 11002002 14669336 18336670 20003640 22004004 27505005 36673340 44008008 55010010 73346680 110020020 220040040