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57233000 = 235311343
BaseRepresentation
bin1101101001010…
…0111001101000
310222200201220202
43122110321220
5104122424000
65402411332
71263321026
oct332247150
9128621822
1057233000
112a341000
1217200b48
13bb1b6a6
14785b716
155057dd5
hex3694e68

57233000 has 128 divisors (see below), whose sum is σ = 150733440. Its totient is φ = 20328000.

The previous prime is 57232961. The next prime is 57233003. The reversal of 57233000 is 33275.

57233000 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 (20).

It is not an unprimeable number, because it can be changed into a prime (57233003) 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 31 ways as a sum of consecutive naturals, for example, 1330979 + ... + 1331021.

It is an arithmetic number, because the mean of its divisors is an integer number (1177605).

Almost surely, 257233000 is an apocalyptic number.

57233000 is a gapful number since it is divisible by the number (50) 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 57233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75366720).

57233000 is an abundant number, since it is smaller than the sum of its proper divisors (93500440).

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

57233000 is a wasteful number, since it uses less digits than its factorization.

57233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 57233000 is about 7565.2495001817. The cubic root of 57233000 is about 385.3737866425.

Adding to 57233000 its reverse (33275), we get a palindrome (57266275).

The spelling of 57233000 in words is "fifty-seven million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 121 125 172 200 215 220 242 250 275 344 430 440 473 484 500 550 605 860 946 968 1000 1075 1100 1210 1331 1375 1720 1892 2150 2200 2365 2420 2662 2750 3025 3784 4300 4730 4840 5203 5324 5375 5500 6050 6655 8600 9460 10406 10648 10750 11000 11825 12100 13310 15125 18920 20812 21500 23650 24200 26015 26620 30250 33275 41624 43000 47300 52030 53240 57233 59125 60500 66550 94600 104060 114466 118250 121000 130075 133100 166375 208120 228932 236500 260150 266200 286165 332750 457864 473000 520300 572330 650375 665500 1040600 1144660 1300750 1331000 1430825 2289320 2601500 2861650 5203000 5723300 7154125 11446600 14308250 28616500 57233000