Search a number
-
+
188225856 = 2635721319
BaseRepresentation
bin10110011100000…
…01100101000000
3111010011212100000
423032001211000
5341141211411
630402200000
74443615300
oct1316014500
9433155300
10188225856
1197280965
1253053000
132ccc4060
141add9600
15117d0956
hexb381940

188225856 has 504 divisors, whose sum is σ = 737798880. Its totient is φ = 47029248.

The previous prime is 188225803. The next prime is 188225857. The reversal of 188225856 is 658522881.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188225857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9906615 + ... + 9906633.

Almost surely, 2188225856 is an apocalyptic number.

188225856 is a gapful number since it is divisible by the number (16) 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 188225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368899440).

188225856 is an abundant number, since it is smaller than the sum of its proper divisors (549573024).

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

188225856 is a wasteful number, since it uses less digits than its factorization.

188225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 44 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The square root of 188225856 is about 13719.5428495267. The cubic root of 188225856 is about 573.0947459896.

The spelling of 188225856 in words is "one hundred eighty-eight million, two hundred twenty-five thousand, eight hundred fifty-six".