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220422442420 = 2251910144912791
BaseRepresentation
bin1100110101001000110…
…0111000110110110100
3210001221121201020210201
43031102030320312310
512102411121124140
6245132145530244
721632162563315
oct3152214706664
9701847636721
10220422442420
11855317a4494
1236877043984
1317a2a39542b
14a95053060c
155b0133849a
hex3352338db4

220422442420 has 96 divisors (see below), whose sum is σ = 493208352000. Its totient is φ = 82510848000.

The previous prime is 220422442417. The next prime is 220422442463. The reversal of 220422442420 is 24244224022.

220422442420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17226225 + ... + 17239015.

It is an arithmetic number, because the mean of its divisors is an integer number (5137587000).

Almost surely, 2220422442420 is an apocalyptic number.

220422442420 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 220422442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246604176000).

220422442420 is an abundant number, since it is smaller than the sum of its proper divisors (272785909580).

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

220422442420 is a wasteful number, since it uses less digits than its factorization.

220422442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369 (or 13367 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 220422442420 its reverse (24244224022), we get a palindrome (244666666442).

The spelling of 220422442420 in words is "two hundred twenty billion, four hundred twenty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 380 404 449 505 898 1010 1796 1919 2020 2245 3838 4490 7676 8531 8980 9595 12791 17062 19190 25582 34124 38380 42655 45349 51164 63955 85310 90698 127910 170620 181396 226745 243029 255820 453490 486058 861631 906980 972116 1215145 1291891 1723262 2430290 2583782 3446524 4308155 4860580 5167564 5743159 6459455 8616310 11486318 12918910 17232620 22972636 24545929 25837820 28715795 49091858 57431590 98183716 109120021 114863180 122729645 218240042 245459290 436480084 490918580 545600105 580059059 1091200210 1160118118 2182400420 2320236236 2900295295 5800590590 11021122121 11601181180 22042244242 44084488484 55105610605 110211221210 220422442420