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57233220 = 223511175101
BaseRepresentation
bin1101101001010…
…0111101000100
310222200202012220
43122110331010
5104122430340
65402412340
71263321462
oct332247504
9128622186
1057233220
112a341190
12172010b0
13bb1b815
14785b832
155057ed0
hex3694f44

57233220 has 96 divisors (see below), whose sum is σ = 185141376. Its totient is φ = 13056000.

The previous prime is 57233219. The next prime is 57233221. The reversal of 57233220 is 2233275.

57233220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57233219) and next prime (57233221).

It is not an unprimeable number, because it can be changed into a prime (57233221) 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, 8670 + ... + 13770.

It is an arithmetic number, because the mean of its divisors is an integer number (1928556).

Almost surely, 257233220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92570688).

57233220 is an abundant number, since it is smaller than the sum of its proper divisors (127908156).

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

57233220 is a wasteful number, since it uses less digits than its factorization.

57233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 57233220 is about 7565.2640403359. The cubic root of 57233220 is about 385.3742804260.

Adding to 57233220 its reverse (2233275), we get a palindrome (59466495).

Subtracting from 57233220 its reverse (2233275), we obtain a palindrome (54999945).

The spelling of 57233220 in words is "fifty-seven million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5101 5610 10202 11220 15303 20404 25505 30606 51010 56111 61212 76515 86717 102020 112222 153030 168333 173434 224444 260151 280555 306060 336666 346868 433585 520302 561110 673332 841665 867170 953887 1040604 1122220 1300755 1683330 1734340 1907774 2601510 2861661 3366660 3815548 4769435 5203020 5723322 9538870 11446644 14308305 19077740 28616610 57233220