Search a number
-
+
2133202233200 = 24527397753143
BaseRepresentation
bin11111000010101100110…
…000101110011101110000
321112221011112100101201112
4133002230300232131300
5234422244232430300
64311551331052452
7310055511543203
oct37025460563560
97487145311645
102133202233200
11752760059135
122a5519141128
131262109aa03c
147536736593a
153a752030e35
hex1f0acc2e770

2133202233200 has 120 divisors (see below), whose sum is σ = 5248790076768. Its totient is φ = 832914800640.

The previous prime is 2133202233199. The next prime is 2133202233233. The reversal of 2133202233200 is 23322023312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455829 + ... + 3208971.

Almost surely, 22133202233200 is an apocalyptic number.

2133202233200 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 2133202233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624395038384).

2133202233200 is an abundant number, since it is smaller than the sum of its proper divisors (3115587843568).

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

2133202233200 is a wasteful number, since it uses less digits than its factorization.

2133202233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753331 (or 753320 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2133202233200 its reverse (23322023312), we get a palindrome (2156524256512).

The spelling of 2133202233200 in words is "two trillion, one hundred thirty-three billion, two hundred two million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 97 100 146 194 200 292 365 388 400 485 584 730 776 970 1168 1460 1552 1825 1940 2425 2920 3650 3880 4850 5840 7081 7300 7760 9700 14162 14600 19400 28324 29200 35405 38800 56648 70810 113296 141620 177025 283240 354050 566480 708100 753143 1416200 1506286 2832400 3012572 3765715 6025144 7531430 12050288 15062860 18828575 30125720 37657150 54979439 60251440 73054871 75314300 109958878 146109742 150628600 219917756 274897195 292219484 301257200 365274355 439835512 549794390 584438968 730548710 879671024 1099588780 1168877936 1374485975 1461097420 1826371775 2199177560 2748971950 2922194840 3652743550 4398355120 5333005583 5497943900 5844389680 7305487100 10666011166 10995887800 14610974200 21332022332 21991775600 26665027915 29221948400 42664044664 53330055830 85328089328 106660111660 133325139575 213320223320 266650279150 426640446640 533300558300 1066601116600 2133202233200