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238505000 = 235447701
BaseRepresentation
bin11100011011101…
…00110000101000
3121121210022100112
432031310300220
5442024130000
635355553452
75624154566
oct1615646050
9547708315
10238505000
111126a2378
1267a5b888
133a549526
1423966a36
1515e13235
hexe374c28

238505000 has 40 divisors (see below), whose sum is σ = 558828930. Its totient is φ = 95400000.

The previous prime is 238504993. The next prime is 238505011. The reversal of 238505000 is 505832.

It can be written as a sum of positive squares in 5 ways, for example, as 1406596 + 237098404 = 1186^2 + 15398^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18851 + ... + 28850.

Almost surely, 2238505000 is an apocalyptic number.

238505000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238505000 is an abundant number, since it is smaller than the sum of its proper divisors (320323930).

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

238505000 is an equidigital number, since it uses as much as digits as its factorization.

238505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47727 (or 47708 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 238505000 is about 15443.6070916091. The cubic root of 238505000 is about 620.1534479711.

The spelling of 238505000 in words is "two hundred thirty-eight million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 47701 95402 190804 238505 381608 477010 954020 1192525 1908040 2385050 4770100 5962625 9540200 11925250 23850500 29813125 47701000 59626250 119252500 238505000