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3332218248 = 233268032
BaseRepresentation
bin1100011010011101…
…1001110110001000
322121020011020002200
43012213121312020
523311021440443
61310353000200
7145401250002
oct30647316610
98536136080
103332218248
11145aa4a987
1278bb53060
13411482b98
142387a5372
15147818dd3
hexc69d9d88

3332218248 has 36 divisors (see below), whose sum is σ = 9026084535. Its totient is φ = 1110576144.

The previous prime is 3332218247. The next prime is 3332218277. The reversal of 3332218248 is 8428122333.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3332218248 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 only one way, i.e., 1666109124 + 1666109124 = 40818^2 + 40818^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=40818.

It is a super-2 number, since 2×33322182482 = 22207356904608379008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3332218247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 486415 + ... + 493217.

Almost surely, 23332218248 is an apocalyptic number.

It is an amenable number.

3332218248 is an abundant number, since it is smaller than the sum of its proper divisors (5693866287).

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

3332218248 is an frugal number, since it uses more digits than its factorization.

3332218248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13618 (or 6808 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3332218248 is about 57725.3691889450. The cubic root of 3332218248 is about 1493.6349919846.

The spelling of 3332218248 in words is "three billion, three hundred thirty-two million, two hundred eighteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6803 13606 20409 27212 40818 54424 61227 81636 122454 163272 244908 489816 46280809 92561618 138842427 185123236 277684854 370246472 416527281 555369708 833054562 1110739416 1666109124 3332218248