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235050000 = 243551567
BaseRepresentation
bin11100000001010…
…01010000010000
3121101021202222120
432000221100100
5440133100000
635153534240
75552614653
oct1600512020
9541252876
10235050000
111107525a9
1266874380
1339909a53
142330789a
151597e6a0
hexe029410

235050000 has 120 divisors (see below), whose sum is σ = 759451392. Its totient is φ = 62640000.

The previous prime is 235049993. The next prime is 235050001. The reversal of 235050000 is 50532.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (235050001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149217 + ... + 150783.

Almost surely, 2235050000 is an apocalyptic number.

235050000 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 235050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379725696).

235050000 is an abundant number, since it is smaller than the sum of its proper divisors (524401392).

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

235050000 is an equidigital number, since it uses as much as digits as its factorization.

235050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 235050000 is about 15331.3404502020. The cubic root of 235050000 is about 617.1443421726.

The spelling of 235050000 in words is "two hundred thirty-five million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1567 1875 2000 2500 3000 3125 3134 3750 4701 5000 6000 6250 6268 7500 7835 9375 9402 10000 12500 12536 15000 15670 18750 18804 23505 25000 25072 30000 31340 37500 37608 39175 47010 50000 62680 75000 75216 78350 94020 117525 125360 150000 156700 188040 195875 235050 313400 376080 391750 470100 587625 626800 783500 940200 979375 1175250 1567000 1880400 1958750 2350500 2938125 3134000 3917500 4701000 4896875 5876250 7835000 9402000 9793750 11752500 14690625 15670000 19587500 23505000 29381250 39175000 47010000 58762500 78350000 117525000 235050000