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188228040 = 2335711131567
BaseRepresentation
bin10110011100000…
…10000111001000
3111010011222022220
423032002013020
5341141244130
630402214040
74443624540
oct1316020710
9433158286
10188228040
1197282570
1253054320
132ccc5050
141adda320
15117d1410
hexb3821c8

188228040 has 256 divisors, whose sum is σ = 758661120. Its totient is φ = 36080640.

The previous prime is 188228039. The next prime is 188228057. The reversal of 188228040 is 40822881.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 188227992 and 188228010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119337 + ... + 120903.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2188228040 is an apocalyptic number.

188228040 is a gapful number since it is divisible by the number (10) 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 188228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379330560).

188228040 is an abundant number, since it is smaller than the sum of its proper divisors (570433080).

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

188228040 is a wasteful number, since it uses less digits than its factorization.

188228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 188228040 is about 13719.6224437847. The cubic root of 188228040 is about 573.0969625361.

It can be divided in two parts, 18822 and 8040, that added together give a palindrome (26862).

The spelling of 188228040 in words is "one hundred eighty-eight million, two hundred twenty-eight thousand, forty".