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235010000 = 245471331
BaseRepresentation
bin11100000000111…
…11011111010000
3121101012202010002
432000133133100
5440130310000
635153025132
75552360231
oct1600373720
9541182102
10235010000
11110725545
12668551a8
13398c4794
14232d7088
15159728d5
hexe01f7d0

235010000 has 100 divisors (see below), whose sum is σ = 578739744. Its totient is φ = 92400000.

The previous prime is 235009981. The next prime is 235010033. The reversal of 235010000 is 10532.

235010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 709835 + ... + 710165.

Almost surely, 2235010000 is an apocalyptic number.

235010000 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 235010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289369872).

235010000 is an abundant number, since it is smaller than the sum of its proper divisors (343729744).

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

235010000 is an equidigital number, since it uses as much as digits as its factorization.

235010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 235010000 is about 15330.0358773227. The cubic root of 235010000 is about 617.1093323532.

Adding to 235010000 its reverse (10532), we get a palindrome (235020532).

The spelling of 235010000 in words is "two hundred thirty-five million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 331 355 400 500 568 625 662 710 1000 1136 1250 1324 1420 1655 1775 2000 2500 2648 2840 3310 3550 5000 5296 5680 6620 7100 8275 8875 10000 13240 14200 16550 17750 23501 26480 28400 33100 35500 41375 44375 47002 66200 71000 82750 88750 94004 117505 132400 142000 165500 177500 188008 206875 235010 331000 355000 376016 413750 470020 587525 662000 710000 827500 940040 1175050 1655000 1880080 2350100 2937625 3310000 4700200 5875250 9400400 11750500 14688125 23501000 29376250 47002000 58752500 117505000 235010000