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220340040 = 23353075981
BaseRepresentation
bin11010010001000…
…01111101001000
3120100121102201020
431020201331020
5422401340130
633510352440
75313600534
oct1510417510
9510542636
10220340040
11103415808
126195b720
133685942b
1421398bc4
1514525e10
hexd221f48

220340040 has 64 divisors (see below), whose sum is σ = 663284160. Its totient is φ = 58556160.

The previous prime is 220340039. The next prime is 220340053. The reversal of 220340040 is 40043022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33850 + ... + 39830.

It is an arithmetic number, because the mean of its divisors is an integer number (10363815).

Almost surely, 2220340040 is an apocalyptic number.

220340040 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 220340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331642080).

220340040 is an abundant number, since it is smaller than the sum of its proper divisors (442944120).

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

220340040 is a wasteful number, since it uses less digits than its factorization.

220340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6302 (or 6298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220340040 is about 14843.8552943634. The cubic root of 220340040 is about 603.9919373805.

Adding to 220340040 its reverse (40043022), we get a palindrome (260383062).

The spelling of 220340040 in words is "two hundred twenty million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 5981 6140 7368 9210 11962 12280 17943 18420 23924 29905 35886 36840 47848 59810 71772 89715 119620 143544 179430 239240 358860 717720 1836167 3672334 5508501 7344668 9180835 11017002 14689336 18361670 22034004 27542505 36723340 44068008 55085010 73446680 110170020 220340040