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3300228191 = 131791418233
BaseRepresentation
bin1100010010110101…
…0111110001011111
322111222221221222202
43010231113301133
523224324300231
61303251202115
7144532322351
oct30455276137
98458857882
103300228191
111443990317
127812a633b
13407962160
142344390d1
15144aea5cb
hexc4b57c5f

3300228191 has 8 divisors (see below), whose sum is σ = 3573949680. Its totient is φ = 3029343552.

The previous prime is 3300228181. The next prime is 3300228229. The reversal of 3300228191 is 1918220033.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3300228191 is a prime.

It is a super-3 number, since 3×33002281913 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300228181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706790 + ... + 711443.

It is an arithmetic number, because the mean of its divisors is an integer number (446743710).

Almost surely, 23300228191 is an apocalyptic number.

3300228191 is a deficient number, since it is larger than the sum of its proper divisors (273721489).

3300228191 is a wasteful number, since it uses less digits than its factorization.

3300228191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418425.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 3300228191 is about 57447.6125787661. The cubic root of 3300228191 is about 1488.8398685293.

The spelling of 3300228191 in words is "three billion, three hundred million, two hundred twenty-eight thousand, one hundred ninety-one".

Divisors: 1 13 179 2327 1418233 18437029 253863707 3300228191