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220224414 = 23434092087
BaseRepresentation
bin11010010000001…
…01101110011110
3120100101120002210
431020011232132
5422334140124
633504101250
75312606454
oct1510055636
9510346083
10220224414
11103346953
1261904826
1336818907
14213689d4
1514501a29
hexd205b9e

220224414 has 32 divisors (see below), whose sum is σ = 452010240. Its totient is φ = 71491392.

The previous prime is 220224413. The next prime is 220224419. The reversal of 220224414 is 414422022.

220224414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220224413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104479 + ... + 106565.

It is an arithmetic number, because the mean of its divisors is an integer number (14125320).

Almost surely, 2220224414 is an apocalyptic number.

220224414 is an abundant number, since it is smaller than the sum of its proper divisors (231785826).

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

220224414 is a wasteful number, since it uses less digits than its factorization.

220224414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544.

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 220224414 is about 14839.9600403775. The cubic root of 220224414 is about 603.8862682955.

Adding to 220224414 its reverse (414422022), we get a palindrome (634646436).

The spelling of 220224414 in words is "two hundred twenty million, two hundred twenty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 43 86 129 258 409 818 1227 2087 2454 4174 6261 12522 17587 35174 52761 89741 105522 179482 269223 538446 853583 1707166 2560749 5121498 36704069 73408138 110112207 220224414