Search a number
-
+
202443122420 = 2257111952313229
BaseRepresentation
bin1011110010001010001…
…1001110011011110100
3201100112121110011101222
42330202203032123310
511304100414404140
6233000122405512
720424505101620
oct2744243163364
9640477404358
10202443122420
1178945957240
1233299960898
1316123525946
149b26768180
1553ecbb75b5
hex2f228ce6f4

202443122420 has 192 divisors, whose sum is σ = 559038412800. Its totient is φ = 59659338240.

The previous prime is 202443122389. The next prime is 202443122423. The reversal of 202443122420 is 24221344202.

It is a self number, because there is not a number n which added to its sum of digits gives 202443122420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202443122423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15296366 + ... + 15309594.

It is an arithmetic number, because the mean of its divisors is an integer number (2911658400).

Almost surely, 2202443122420 is an apocalyptic number.

202443122420 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 202443122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279519206400).

202443122420 is an abundant number, since it is smaller than the sum of its proper divisors (356595290380).

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

202443122420 is a wasteful number, since it uses less digits than its factorization.

202443122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13798 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 202443122420 its reverse (24221344202), we get a palindrome (226664466622).

The spelling of 202443122420 in words is "two hundred two billion, four hundred forty-three million, one hundred twenty-two thousand, four hundred twenty".