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20222022420 = 223251974871171
BaseRepresentation
bin10010110101010100…
…111001001100010100
31221012022022011202100
4102311110321030110
5312403314204140
613142340042100
71314056232405
oct226524711424
957168264670
1020222022420
118637893826
123b04393330
131ba36a2a52
14d9b99b9ac
157d54c5530
hex4b5539314

20222022420 has 144 divisors (see below), whose sum is σ = 61830857088. Its totient is φ = 5349576960.

The previous prime is 20222022391. The next prime is 20222022467. The reversal of 20222022420 is 2422022202.

It is a happy number.

20222022420 is a `hidden beast` number, since 2 + 0 + 2 + 220 + 22 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20222022393 and 20222022402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17268435 + ... + 17269605.

It is an arithmetic number, because the mean of its divisors is an integer number (429380952).

Almost surely, 220222022420 is an apocalyptic number.

20222022420 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 20222022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30915428544).

20222022420 is an abundant number, since it is smaller than the sum of its proper divisors (41608834668).

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

20222022420 is a wasteful number, since it uses less digits than its factorization.

20222022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20222022420 its reverse (2422022202), we get a palindrome (22644044622).

The spelling of 20222022420 in words is "twenty billion, two hundred twenty-two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 487 591 788 974 985 1171 1182 1461 1773 1948 1970 2342 2364 2435 2922 2955 3513 3546 3940 4383 4684 4870 5844 5855 5910 7026 7092 7305 8766 8865 9740 10539 11710 11820 14052 14610 17532 17565 17730 21078 21915 23420 29220 35130 35460 42156 43830 52695 70260 87660 95939 105390 191878 210780 230687 287817 383756 461374 479695 570277 575634 692061 863451 922748 959390 1140554 1151268 1153435 1384122 1439085 1710831 1726902 1918780 2076183 2281108 2306870 2768244 2851385 2878170 3421662 3453804 3460305 4152366 4317255 4613740 5132493 5702770 5756340 6843324 6920610 8304732 8554155 8634510 10264986 10380915 11405540 13841220 17108310 17269020 20529972 20761830 25662465 34216620 41523660 51324930 102649860 112344569 224689138 337033707 449378276 561722845 674067414 1011101121 1123445690 1348134828 1685168535 2022202242 2246891380 3370337070 4044404484 5055505605 6740674140 10111011210 20222022420