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235528000 = 265359499
BaseRepresentation
bin11100000100111…
…01111101000000
3121102012001200021
432002131331000
5440243344000
635212103224
75556645361
oct1602357500
9542161607
10235528000
11110a49744
1266a64b14
1339a464a6
14233cdb68
1515a2611a
hexe09df40

235528000 has 112 divisors (see below), whose sum is σ = 594360000. Its totient is φ = 92428800.

The previous prime is 235527983. The next prime is 235528001. The reversal of 235528000 is 825532.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235528001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 471751 + ... + 472249.

Almost surely, 2235528000 is an apocalyptic number.

235528000 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 235528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297180000).

235528000 is an abundant number, since it is smaller than the sum of its proper divisors (358832000).

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

235528000 is an equidigital number, since it uses as much as digits as its factorization.

235528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 235528000 is about 15346.9215154050. The cubic root of 235528000 is about 617.5624025185.

The spelling of 235528000 in words is "two hundred thirty-five million, five hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 64 80 100 118 125 160 200 236 250 295 320 400 472 499 500 590 800 944 998 1000 1180 1475 1600 1888 1996 2000 2360 2495 2950 3776 3992 4000 4720 4990 5900 7375 7984 8000 9440 9980 11800 12475 14750 15968 18880 19960 23600 24950 29441 29500 31936 39920 47200 49900 58882 59000 62375 79840 94400 99800 117764 118000 124750 147205 159680 199600 235528 236000 249500 294410 399200 471056 472000 499000 588820 736025 798400 942112 998000 1177640 1472050 1884224 1996000 2355280 2944100 3680125 3992000 4710560 5888200 7360250 9421120 11776400 14720500 23552800 29441000 47105600 58882000 117764000 235528000