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2472193305 = 3552970163
BaseRepresentation
bin1001001101011010…
…1010110100011001
320101021212102200000
42103112222310121
520030340141210
61045151403213
7115156203441
oct22326526431
96337772600
102472193305
11105954146a
1258bb23509
1330524489a
14196493121
15e7086ac0
hex935aad19

2472193305 has 48 divisors (see below), whose sum is σ = 4597145280. Its totient is φ = 1273019328.

The previous prime is 2472193271. The next prime is 2472193309. The reversal of 2472193305 is 5033912742.

2472193305 is a `hidden beast` number, since 247 + 21 + 93 + 305 = 666.

2472193305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2472193305 - 211 = 2472191257 is a prime.

It is a super-2 number, since 2×24721933052 = 12223479474573646050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2472193305.

It is not an unprimeable number, because it can be changed into a prime (2472193309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154 + ... + 70316.

It is an arithmetic number, because the mean of its divisors is an integer number (95773860).

Almost surely, 22472193305 is an apocalyptic number.

It is an amenable number.

2472193305 is a deficient number, since it is larger than the sum of its proper divisors (2124951975).

2472193305 is an equidigital number, since it uses as much as digits as its factorization.

2472193305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70212 (or 70200 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2472193305 is about 49721.1555074900. The cubic root of 2472193305 is about 1352.1581037824.

The spelling of 2472193305 in words is "two billion, four hundred seventy-two million, one hundred ninety-three thousand, three hundred five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 243 261 405 435 783 1215 1305 2349 3915 7047 11745 35235 70163 210489 350815 631467 1052445 1894401 2034727 3157335 5683203 6104181 9472005 10173635 17049609 18312543 28416015 30520905 54937629 85248045 91562715 164812887 274688145 494438661 824064435 2472193305