Search a number
-
+
20223202100 = 2252793736863
BaseRepresentation
bin10010110101011001…
…011001001100110100
31221012101112002222012
4102311121121030310
5312404114431400
613142421223352
71314102244613
oct226531311464
957171462865
1020223202100
11863851a072
123b04861b58
131ba39c699a
14d9bbc787a
157d5659d35
hex4b5659334

20223202100 has 72 divisors (see below), whose sum is σ = 44565480960. Its totient is φ = 7964311680.

The previous prime is 20223202061. The next prime is 20223202117. The reversal of 20223202100 is 120232202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2943269 + ... + 2950131.

Almost surely, 220223202100 is an apocalyptic number.

20223202100 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 20223202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282740480).

20223202100 is an abundant number, since it is smaller than the sum of its proper divisors (24342278860).

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

20223202100 is a wasteful number, since it uses less digits than its factorization.

20223202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7322 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20223202100 its reverse (120232202), we get a palindrome (20343434302).

The spelling of 20223202100 in words is "twenty billion, two hundred twenty-three million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 373 395 746 790 1492 1580 1865 1975 3730 3950 6863 7460 7900 9325 13726 18650 27452 29467 34315 37300 58934 68630 117868 137260 147335 171575 294670 343150 542177 589340 686300 736675 1084354 1473350 2168708 2559899 2710885 2946700 5119798 5421770 10239596 10843540 12799495 13554425 25598990 27108850 51197980 54217700 63997475 127994950 202232021 255989900 404464042 808928084 1011160105 2022320210 4044640420 5055800525 10111601050 20223202100