Search a number
-
+
209303902080 = 273257131783283
BaseRepresentation
bin1100001011101101111…
…1000001011110000000
3202000020202012212210100
43002323133001132000
511412123244331310
6240053005002400
721056513545650
oct3027337013600
9660222185710
10209303902080
1180846661579
1234693553400
1316977a35390
14a1b7a04360
1556a0180ec0
hex30bb7c1780

209303902080 has 1536 divisors, whose sum is σ = 956583613440. Its totient is φ = 40917270528.

The previous prime is 209303902051. The next prime is 209303902081. The reversal of 209303902080 is 80209303902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209303902081) 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, 739589619 + ... + 739589901.

It is an arithmetic number, because the mean of its divisors is an integer number (622775790).

Almost surely, 2209303902080 is an apocalyptic number.

209303902080 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 209303902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478291806720).

209303902080 is an abundant number, since it is smaller than the sum of its proper divisors (747279711360).

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

209303902080 is a wasteful number, since it uses less digits than its factorization.

209303902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 209303902080 in words is "two hundred nine billion, three hundred three million, nine hundred two thousand, eighty".