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20220224420 = 225111077691117
BaseRepresentation
bin10010110101001110…
…000010001110100100
31221012011220211100202
4102311032002032210
5312402334140140
613142233330032
71314035033414
oct226516021644
957164824322
1020220224420
118636875980
123b03866918
131ba31c3546
14d9b650644
157d526c915
hex4b53823a4

20220224420 has 96 divisors (see below), whose sum is σ = 46858331520. Its totient is φ = 7268106240.

The previous prime is 20220224389. The next prime is 20220224443. The reversal of 20220224420 is 2442202202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20220224392 and 20220224401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18101702 + ... + 18102818.

It is an arithmetic number, because the mean of its divisors is an integer number (488107620).

Almost surely, 220220224420 is an apocalyptic number.

20220224420 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 20220224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23429165760).

20220224420 is an abundant number, since it is smaller than the sum of its proper divisors (26638107100).

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

20220224420 is a wasteful number, since it uses less digits than its factorization.

20220224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20220224420 its reverse (2442202202), we get a palindrome (22662426622).

It can be divided in two parts, 202202 and 24420, that added together give a palindrome (226622).

The spelling of 20220224420 in words is "twenty billion, two hundred twenty million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 769 1070 1117 1177 1538 2140 2234 2354 3076 3845 4468 4708 5585 5885 7690 8459 11170 11770 12287 15380 16918 22340 23540 24574 33836 42295 49148 61435 82283 84590 119519 122870 164566 169180 239038 245740 329132 411415 478076 597595 822830 858973 905113 1195190 1314709 1645660 1717946 1810226 2390380 2629418 3435892 3620452 4294865 4525565 5258836 6573545 8589730 9051130 9448703 13147090 17179460 18102260 18897406 26294180 37794812 47243515 91910111 94487030 183820222 188974060 367640444 459550555 919101110 1011011221 1838202220 2022022442 4044044884 5055056105 10110112210 20220224420