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220202064 = 2434169909
BaseRepresentation
bin11010010000000…
…00010001010000
3120100100102110000
431020000101100
5422332431224
633503410000
75312454345
oct1510002120
9510312400
10220202064
11103331085
12618b3900
133680b6a4
14213607cc
15144ea0c9
hexd200450

220202064 has 50 divisors (see below), whose sum is σ = 637332410. Its totient is φ = 73400256.

The previous prime is 220202063. The next prime is 220202093. The reversal of 220202064 is 460202022.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 79067664 = 11880^2 + 8892^2 .

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 (220202063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 83659 + ... + 86250.

Almost surely, 2220202064 is an apocalyptic number.

220202064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220202064 is an abundant number, since it is smaller than the sum of its proper divisors (417130346).

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

220202064 is a wasteful number, since it uses less digits than its factorization.

220202064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169929 (or 169914 counting only the distinct ones).

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

The square root of 220202064 is about 14839.2069868979. The cubic root of 220202064 is about 603.8658386582.

Adding to 220202064 its reverse (460202022), we get a palindrome (680404086).

The spelling of 220202064 in words is "two hundred twenty million, two hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 169909 339818 509727 679636 1019454 1359272 1529181 2038908 2718544 3058362 4077816 4587543 6116724 8155632 9175086 12233448 13762629 18350172 24466896 27525258 36700344 55050516 73400688 110101032 220202064