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220212342 = 23277922123
BaseRepresentation
bin11010010000000…
…10110001110110
3120100100221112200
431020002301312
5422333243332
633503525330
75312526330
oct1510026166
9510327480
10220212342
11103338879
12618b9846
133681327c
1421364450
15144ed17c
hexd202c76

220212342 has 48 divisors (see below), whose sum is σ = 552215040. Its totient is φ = 62118576.

The previous prime is 220212323. The next prime is 220212347. The reversal of 220212342 is 243212022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108 + ... + 21015.

It is an arithmetic number, because the mean of its divisors is an integer number (11504480).

Almost surely, 2220212342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220212342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276107520).

220212342 is an abundant number, since it is smaller than the sum of its proper divisors (332002698).

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

220212342 is a wasteful number, since it uses less digits than its factorization.

220212342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22217 (or 22214 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220212342 is about 14839.5532951636. The cubic root of 220212342 is about 603.8752337208.

Adding to 220212342 its reverse (243212022), we get a palindrome (463424364).

The spelling of 220212342 in words is "two hundred twenty million, two hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 22123 44246 66369 132738 154861 199107 309722 398214 464583 929166 1393749 1747717 2787498 3495434 5243151 10486302 12234019 15729453 24468038 31458906 36702057 73404114 110106171 220212342