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56233200 = 2435246861
BaseRepresentation
bin1101011010000…
…0110011110000
310220210221110010
43112200303300
5103343430300
65325134520
71251655122
oct326406360
9126727403
1056233200
1129818921
12169ba440
13b85b5aa
14767b212
154e0ba50
hex35a0cf0

56233200 has 60 divisors (see below), whose sum is σ = 180137528. Its totient is φ = 14995200.

The previous prime is 56233171. The next prime is 56233201. The reversal of 56233200 is 233265.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56233201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22231 + ... + 24630.

Almost surely, 256233200 is an apocalyptic number.

56233200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56233200 is an abundant number, since it is smaller than the sum of its proper divisors (123904328).

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

56233200 is a wasteful number, since it uses less digits than its factorization.

56233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46882 (or 46871 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 56233200 is about 7498.8799163608. The cubic root of 56233200 is about 383.1165672179.

Adding to 56233200 its reverse (233265), we get a palindrome (56466465).

The spelling of 56233200 in words is "fifty-six million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 46861 93722 140583 187444 234305 281166 374888 468610 562332 702915 749776 937220 1124664 1171525 1405830 1874440 2249328 2343050 2811660 3514575 3748880 4686100 5623320 7029150 9372200 11246640 14058300 18744400 28116600 56233200