Search a number
-
+
20220212120 = 23571101157449
BaseRepresentation
bin10010110101001101…
…111111001110011000
31221012011220012111012
4102311031333032120
5312402333241440
613142233153052
71314034652513
oct226515771630
957164805435
1020220212120
118636867709
123b0385b788
131ba31baa74
14d9b649d7a
157d5268e65
hex4b537f398

20220212120 has 128 divisors (see below), whose sum is σ = 46994256000. Its totient is φ = 7827456000.

The previous prime is 20220212119. The next prime is 20220212143. The reversal of 20220212120 is 2121202202.

It is a junction number, because it is equal to n+sod(n) for n = 20220212095 and 20220212104.

It is a congruent number.

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, 45033656 + ... + 45034104.

It is an arithmetic number, because the mean of its divisors is an integer number (367142625).

Almost surely, 220220212120 is an apocalyptic number.

20220212120 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 20220212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497128000).

20220212120 is an abundant number, since it is smaller than the sum of its proper divisors (26774043880).

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

20220212120 is a wasteful number, since it uses less digits than its factorization.

20220212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20220212120 its reverse (2121202202), we get a palindrome (22341414322).

The spelling of 20220212120 in words is "twenty billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 101 142 157 202 284 314 355 404 449 505 568 628 710 785 808 898 1010 1256 1420 1570 1796 2020 2245 2840 3140 3592 4040 4490 6280 7171 8980 11147 14342 15857 17960 22294 28684 31714 31879 35855 44588 45349 55735 57368 63428 63758 70493 71710 79285 89176 90698 111470 126856 127516 140986 143420 158570 159395 181396 222940 226745 255032 281972 286840 317140 318790 352465 362792 445880 453490 563944 634280 637580 704930 906980 1125847 1275160 1409860 1813960 2251694 2819720 3219779 4503388 5005003 5629235 6439558 7119793 9006776 10010006 11258470 12879116 14239586 16098895 20020012 22516940 25025015 25758232 28479172 32197790 35598965 40040024 45033880 50050030 56958344 64395580 71197930 100100060 128791160 142395860 200200120 284791720 505505303 1011010606 2022021212 2527526515 4044042424 5055053030 10110106060 20220212120