Search a number
-
+
200362225440 = 25351389360779
BaseRepresentation
bin1011101010011010000…
…1001110111100100000
3201011011120212122101110
42322212201032330200
511240320212203230
6232013425503320
720322106546566
oct2724641167440
9634146778343
10200362225440
1177a78286573
12329b8aa1b40
1315b81395b60
1499aa251a36
15532a1754b0
hex2ea684ef20

200362225440 has 192 divisors, whose sum is σ = 687329193600. Its totient is φ = 48765640704.

The previous prime is 200362225423. The next prime is 200362225451. The reversal of 200362225440 is 44522263002.

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 = 200362225398 and 200362225407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374971 + ... + 735749.

It is an arithmetic number, because the mean of its divisors is an integer number (3579839550).

Almost surely, 2200362225440 is an apocalyptic number.

200362225440 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 200362225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343664596800).

200362225440 is an abundant number, since it is smaller than the sum of its proper divisors (486966968160).

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

200362225440 is a wasteful number, since it uses less digits than its factorization.

200362225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360899 (or 360891 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 200362225440 its reverse (44522263002), we get a palindrome (244884488442).

The spelling of 200362225440 in words is "two hundred billion, three hundred sixty-two million, two hundred twenty-five thousand, four hundred forty".