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238253400 = 233452711191
BaseRepresentation
bin11100011001101…
…11010101011000
3121121022112020000
432030313111120
5441443102100
635350333000
75622056220
oct1614672530
9547275200
10238253400
11112540340
126795a160
133a48bb58
14238dd080
1515db3900
hexe337558

238253400 has 480 divisors, whose sum is σ = 1037076480. Its totient is φ = 49248000.

The previous prime is 238253371. The next prime is 238253417. The reversal of 238253400 is 4352832.

238253400 is a `hidden beast` number, since 2 + 3 + 8 + 253 + 400 = 666.

238253400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2382534002 = 113529365223120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1247305 + ... + 1247495.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2238253400 is an apocalyptic number.

238253400 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 238253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518538240).

238253400 is an abundant number, since it is smaller than the sum of its proper divisors (798823080).

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

238253400 is a wasteful number, since it uses less digits than its factorization.

238253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 238253400 is about 15435.4591768434. The cubic root of 238253400 is about 619.9353036898.

It can be divided in two parts, 23825 and 3400, that added together give a square (27225 = 1652).

The spelling of 238253400 in words is "two hundred thirty-eight million, two hundred fifty-three thousand, four hundred".