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335125000 = 23567383
BaseRepresentation
bin10011111110011…
…001101000001000
3212100121010002001
4103332121220020
51141243000000
653130520344
711206341550
oct2376315010
9770533061
10335125000
11162195411
12942960b4
1354578722
1432718160
151e64b46a
hex13f99a08

335125000 has 112 divisors (see below), whose sum is σ = 899988480. Its totient is φ = 114600000.

The previous prime is 335124997. The next prime is 335125001. The reversal of 335125000 is 521533.

It is a super-2 number, since 2×3351250002 = 224617531250000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335125001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 874809 + ... + 875191.

Almost surely, 2335125000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449994240).

335125000 is an abundant number, since it is smaller than the sum of its proper divisors (564863480).

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

335125000 is an frugal number, since it uses more digits than its factorization.

335125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 335125000 is about 18306.4196390228. The cubic root of 335125000 is about 694.6013275186.

Adding to 335125000 its reverse (521533), we get a palindrome (335646533).

The spelling of 335125000 in words is "three hundred thirty-five million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 383 500 625 700 766 875 1000 1250 1400 1532 1750 1915 2500 2681 3064 3125 3500 3830 4375 5000 5362 6250 7000 7660 8750 9575 10724 12500 13405 15320 15625 17500 19150 21448 21875 25000 26810 31250 35000 38300 43750 47875 53620 62500 67025 76600 87500 95750 107240 109375 125000 134050 175000 191500 218750 239375 268100 335125 383000 437500 478750 536200 670250 875000 957500 1196875 1340500 1675625 1915000 2393750 2681000 3351250 4787500 5984375 6702500 8378125 9575000 11968750 13405000 16756250 23937500 33512500 41890625 47875000 67025000 83781250 167562500 335125000