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2214627311 = 132919729819
BaseRepresentation
bin1000010000000000…
…1000011111101111
312201100012201112202
42010000020133233
514013421033221
61003431052115
7105611010251
oct20400103757
95640181482
102214627311
11a37110306
1251981103b
13293a83480
141701a7cd1
15ce65ad0b
hex840087ef

2214627311 has 16 divisors (see below), whose sum is σ = 2479831200. Its totient is φ = 1963694208.

The previous prime is 2214627301. The next prime is 2214627319. The reversal of 2214627311 is 1137264122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2214627311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214627319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59360 + ... + 89178.

It is an arithmetic number, because the mean of its divisors is an integer number (154989450).

Almost surely, 22214627311 is an apocalyptic number.

2214627311 is a deficient number, since it is larger than the sum of its proper divisors (265203889).

2214627311 is a wasteful number, since it uses less digits than its factorization.

2214627311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30058.

The product of its digits is 4032, while the sum is 29.

The square root of 2214627311 is about 47059.8269333834. The cubic root of 2214627311 is about 1303.4675299071.

The spelling of 2214627311 in words is "two billion, two hundred fourteen million, six hundred twenty-seven thousand, three hundred eleven".

Divisors: 1 13 29 197 377 2561 5713 29819 74269 387647 864751 5874343 11241763 76366459 170355947 2214627311