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222132020 = 225117114221
BaseRepresentation
bin11010011110101…
…11011100110100
3120110222110211212
431033113130310
5423331211040
634013020552
75335043135
oct1517273464
9513873755
10222132020
1110442a090
1262484758
1337035c86
1421703c8c
151477bd65
hexd3d7734

222132020 has 48 divisors (see below), whose sum is σ = 516087936. Its totient is φ = 79632000.

The previous prime is 222131989. The next prime is 222132041. The reversal of 222132020 is 20231222.

It is a junction number, because it is equal to n+sod(n) for n = 222131986 and 222132004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8510 + ... + 22730.

It is an arithmetic number, because the mean of its divisors is an integer number (10751832).

Almost surely, 2222132020 is an apocalyptic number.

222132020 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 222132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258043968).

222132020 is an abundant number, since it is smaller than the sum of its proper divisors (293955916).

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

222132020 is a wasteful number, since it uses less digits than its factorization.

222132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14312 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 222132020 is about 14904.0940684095. The cubic root of 222132020 is about 605.6248990284.

Adding to 222132020 its reverse (20231222), we get a palindrome (242363242).

The spelling of 222132020 in words is "two hundred twenty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 14221 15620 28442 56884 71105 142210 156431 284420 312862 625724 782155 1009691 1564310 2019382 3128620 4038764 5048455 10096910 11106601 20193820 22213202 44426404 55533005 111066010 222132020