Search a number
-
+
8203211940 = 223571123141127
BaseRepresentation
bin1111010001111001…
…10001010010100100
3210011200210100021110
413220330301102210
5113300010240230
63433555145020
7410166102540
oct75074612244
923150710243
108203211940
11352a554600
12170b2a5170
13a09683381
1457b684a20
1533028b4b0
hex1e8f314a4

8203211940 has 576 divisors, whose sum is σ = 30751064064. Its totient is φ = 1596672000.

The previous prime is 8203211923. The next prime is 8203211941. The reversal of 8203211940 is 491123028.

It is a super-2 number, since 2×82032119402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 8203211898 and 8203211907.

It is not an unprimeable number, because it can be changed into a prime (8203211941) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64592157 + ... + 64592283.

It is an arithmetic number, because the mean of its divisors is an integer number (53387264).

Almost surely, 28203211940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8203211940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375532032).

8203211940 is an abundant number, since it is smaller than the sum of its proper divisors (22547852124).

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

8203211940 is a wasteful number, since it uses less digits than its factorization.

8203211940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 8203211940 is about 90571.5846168101. The cubic root of 8203211940 is about 2016.7929324064.

Adding to 8203211940 its reverse (491123028), we get a palindrome (8694334968).

The spelling of 8203211940 in words is "eight billion, two hundred three million, two hundred eleven thousand, nine hundred forty".