Search a number
-
+
20222033000 = 2353132119657
BaseRepresentation
bin10010110101010100…
…111011110001101000
31221012022022201021012
4102311110323301220
5312403320024000
613142340203052
71314056305301
oct226524736150
957168281235
1020222033000
1186378a0774
123b04399488
131ba36a7800
14d9b9a17a8
157d54c8735
hex4b553bc68

20222033000 has 96 divisors (see below), whose sum is σ = 51239948760. Its totient is φ = 7466534400.

The previous prime is 20222032993. The next prime is 20222033003. The reversal of 20222033000 is 33022202.

It can be written as a sum of positive squares in 12 ways, for example, as 9489487396 + 10732545604 = 97414^2 + 103598^2 .

It is not an unprimeable number, because it can be changed into a prime (20222033003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109172 + ... + 228828.

Almost surely, 220222033000 is an apocalyptic number.

20222033000 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 20222033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25619974380).

20222033000 is an abundant number, since it is smaller than the sum of its proper divisors (31017915760).

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

20222033000 is a wasteful number, since it uses less digits than its factorization.

20222033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119704 (or 119677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20222033000 its reverse (33022202), we get a palindrome (20255055202).

The spelling of 20222033000 in words is "twenty billion, two hundred twenty-two million, thirty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 21125 33800 42250 84500 119657 169000 239314 478628 598285 957256 1196570 1555541 2393140 2991425 3111082 4786280 5982850 6222164 7777705 11965700 12444328 14957125 15555410 20222033 23931400 29914250 31110820 38888525 40444066 59828500 62221640 77777050 80888132 101110165 119657000 155554100 161776264 194442625 202220330 311108200 388885250 404440660 505550825 777770500 808881320 1011101650 1555541000 2022203300 2527754125 4044406600 5055508250 10111016500 20222033000