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57225700 = 22527292819
BaseRepresentation
bin1101101001001…
…1000111100100
310222200100220101
43122103013210
5104122210300
65402313444
71263260530
oct332230744
9128610811
1057225700
112a336574
12171b8884
13bb1827c
147858bc0
155055b6a
hex36931e4

57225700 has 72 divisors (see below), whose sum is σ = 146865600. Its totient is φ = 18936960.

The previous prime is 57225683. The next prime is 57225719. The reversal of 57225700 is 752275.

57225700 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 (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18891 + ... + 21709.

It is an arithmetic number, because the mean of its divisors is an integer number (2039800).

Almost surely, 257225700 is an apocalyptic number.

57225700 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 57225700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73432800).

57225700 is an abundant number, since it is smaller than the sum of its proper divisors (89639900).

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

57225700 is a wasteful number, since it uses less digits than its factorization.

57225700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 57225700 is about 7564.7670155795. The cubic root of 57225700 is about 385.3574012923.

Adding to 57225700 its reverse (752275), we get a palindrome (57977975).

The spelling of 57225700 in words is "fifty-seven million, two hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2819 2900 4060 5075 5638 10150 11276 14095 19733 20300 28190 39466 56380 70475 78932 81751 98665 140950 163502 197330 281900 327004 394660 408755 493325 572257 817510 986650 1144514 1635020 1973300 2043775 2289028 2861285 4087550 5722570 8175100 11445140 14306425 28612850 57225700