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238199808 = 21037111953
BaseRepresentation
bin11100011001010…
…10010000000000
3121121012210201010
432030222100000
5441434343213
635345240520
75621444040
oct1614522000
9547183633
10238199808
11112504050
1267933140
133a470642
14238c7720
1515da2ac3
hexe32a400

238199808 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 57507840.

The previous prime is 238199783. The next prime is 238199809. The reversal of 238199808 is 808991832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (238199809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4494310 + ... + 4494362.

Almost surely, 2238199808 is an apocalyptic number.

238199808 is a gapful number since it is divisible by the number (28) 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 238199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

238199808 is an abundant number, since it is smaller than the sum of its proper divisors (610732032).

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

238199808 is a wasteful number, since it uses less digits than its factorization.

238199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 238199808 is about 15433.7230764323. The cubic root of 238199808 is about 619.8888180794. Note that the first 4 decimals are identical.

The spelling of 238199808 in words is "two hundred thirty-eight million, one hundred ninety-nine thousand, eight hundred eight".