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220232240 = 2454373877
BaseRepresentation
bin11010010000001…
…11101000110000
3120100101221211122
431020013220300
5422334412430
633504201412
75312641334
oct1510075060
9510357748
10220232240
11103351818
1261909268
133681c347
142136b7c4
1514503ee5
hexd207a30

220232240 has 80 divisors (see below), whose sum is σ = 531730848. Its totient is φ = 84768768.

The previous prime is 220232227. The next prime is 220232267. The reversal of 220232240 is 42232022.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250682 + ... + 251558.

Almost surely, 2220232240 is an apocalyptic number.

220232240 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 220232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265865424).

220232240 is an abundant number, since it is smaller than the sum of its proper divisors (311498608).

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

220232240 is a wasteful number, since it uses less digits than its factorization.

220232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 220232240 is about 14840.2237179902. The cubic root of 220232240 is about 603.8934215411.

Adding to 220232240 its reverse (42232022), we get a palindrome (262464262).

The spelling of 220232240 in words is "two hundred twenty million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 73 80 86 146 172 215 292 344 365 430 584 688 730 860 877 1168 1460 1720 1754 2920 3139 3440 3508 4385 5840 6278 7016 8770 12556 14032 15695 17540 25112 31390 35080 37711 50224 62780 64021 70160 75422 125560 128042 150844 188555 251120 256084 301688 320105 377110 512168 603376 640210 754220 1024336 1280420 1508440 2560840 2752903 3016880 5121680 5505806 11011612 13764515 22023224 27529030 44046448 55058060 110116120 220232240