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235315000 = 2354192477
BaseRepresentation
bin11100000011010…
…01111100111000
3121101210020111101
432001221330320
5440220040000
635203341144
75555100364
oct1601517470
9541706441
10235315000
11110913708
12669817b4
13399a055b
14233762a4
15159d2e6a
hexe069f38

235315000 has 80 divisors (see below), whose sum is σ = 580595400. Its totient is φ = 89136000.

The previous prime is 235314997. The next prime is 235315027. The reversal of 235315000 is 513532.

235315000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 93762 + ... + 96238.

Almost surely, 2235315000 is an apocalyptic number.

235315000 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 235315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290297700).

235315000 is an abundant number, since it is smaller than the sum of its proper divisors (345280400).

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

235315000 is a wasteful number, since it uses less digits than its factorization.

235315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522 (or 2503 counting only the distinct ones).

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

The square root of 235315000 is about 15339.9804432731. The cubic root of 235315000 is about 617.3761819634.

Adding to 235315000 its reverse (513532), we get a palindrome (235828532).

The spelling of 235315000 in words is "two hundred thirty-five million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 625 760 950 1000 1250 1900 2375 2477 2500 3800 4750 4954 5000 9500 9908 11875 12385 19000 19816 23750 24770 47063 47500 49540 61925 94126 95000 99080 123850 188252 235315 247700 309625 376504 470630 495400 619250 941260 1176575 1238500 1548125 1882520 2353150 2477000 3096250 4706300 5882875 6192500 9412600 11765750 12385000 23531500 29414375 47063000 58828750 117657500 235315000