Search a number
-
+
220113222 = 23737197719
BaseRepresentation
bin11010001111010…
…10100101000110
3120100011220120120
431013222211012
5422322110342
633501442410
75311634340
oct1507524506
9510156516
10220113222
1110328035a
1261870406
13367aa114
142133a290
15144cdaec
hexd1ea946

220113222 has 64 divisors (see below), whose sum is σ = 520058880. Its totient is φ = 60794496.

The previous prime is 220113221. The next prime is 220113241. The reversal of 220113222 is 222311022.

It is a happy number.

220113222 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 (220113221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305779 + ... + 306497.

It is an arithmetic number, because the mean of its divisors is an integer number (8125920).

Almost surely, 2220113222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220113222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260029440).

220113222 is an abundant number, since it is smaller than the sum of its proper divisors (299945658).

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

220113222 is a wasteful number, since it uses less digits than its factorization.

220113222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220113222 is about 14836.2131960956. The cubic root of 220113222 is about 603.7846164927.

Adding to 220113222 its reverse (222311022), we get a palindrome (442424244).

The spelling of 220113222 in words is "two hundred twenty million, one hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 197 222 259 394 518 591 719 777 1182 1379 1438 1554 2157 2758 4137 4314 5033 7289 8274 10066 14578 15099 21867 26603 30198 43734 51023 53206 79809 102046 141643 153069 159618 186221 283286 306138 372442 424929 558663 849858 991501 1117326 1983002 2974503 5240791 5949006 10481582 15722373 31444746 36685537 73371074 110056611 220113222