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53332200 = 23325229629
BaseRepresentation
bin1100101101110…
…0100011101000
310201100120000200
43023130203220
5102123112300
65143032200
71215213315
oct313344350
9121316020
1053332200
11281172a9
1215a3b660
13b08401c
147123d0c
154a37200
hex32dc8e8

53332200 has 72 divisors (see below), whose sum is σ = 179113350. Its totient is φ = 14221440.

The previous prime is 53332159. The next prime is 53332217. The reversal of 53332200 is 223335.

53332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 48692484 + 4639716 = 6978^2 + 2154^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

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 17 ways as a sum of consecutive naturals, for example, 13015 + ... + 16614.

Almost surely, 253332200 is an apocalyptic number.

53332200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53332200 is an abundant number, since it is smaller than the sum of its proper divisors (125781150).

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

53332200 is a wasteful number, since it uses less digits than its factorization.

53332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29651 (or 29639 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 53332200 is about 7302.8898389610. The cubic root of 53332200 is about 376.4117452648.

Adding to 53332200 its reverse (223335), we get a palindrome (53555535).

The spelling of 53332200 in words is "fifty-three million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 29629 59258 88887 118516 148145 177774 237032 266661 296290 355548 444435 533322 592580 711096 740725 888870 1066644 1185160 1333305 1481450 1777740 2133288 2222175 2666610 2962900 3555480 4444350 5333220 5925800 6666525 8888700 10666440 13333050 17777400 26666100 53332200