Search a number
-
+
2228314695 = 351783127829
BaseRepresentation
bin1000010011010001…
…0110001001000111
312202021222010002220
42010310112021013
514030422032240
61005040303423
7106135235205
oct20464261107
95667863086
102228314695
11a439098a2
12522311b73
13296866509
14171d2c075
15d09615d0
hex84d16247

2228314695 has 64 divisors (see below), whose sum is σ = 3855237120. Its totient is φ = 1095026688.

The previous prime is 2228314691. The next prime is 2228314703. The reversal of 2228314695 is 5964138222.

It is not a de Polignac number, because 2228314695 - 22 = 2228314691 is a prime.

It is a super-3 number, since 3×22283146953 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228314691) 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 63 ways as a sum of consecutive naturals, for example, 2687541 + ... + 2688369.

It is an arithmetic number, because the mean of its divisors is an integer number (60238080).

Almost surely, 22228314695 is an apocalyptic number.

2228314695 is a deficient number, since it is larger than the sum of its proper divisors (1626922425).

2228314695 is a wasteful number, since it uses less digits than its factorization.

2228314695 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064.

The product of its digits is 207360, while the sum is 42.

The square root of 2228314695 is about 47205.0282808940. The cubic root of 2228314695 is about 1306.1473534262.

The spelling of 2228314695 in words is "two billion, two hundred twenty-eight million, three hundred fourteen thousand, six hundred ninety-five".

Divisors: 1 3 5 15 17 51 83 85 127 249 255 381 415 635 829 1245 1411 1905 2159 2487 4145 4233 6477 7055 10541 10795 12435 14093 21165 31623 32385 42279 52705 68807 70465 105283 158115 179197 206421 211395 315849 344035 526415 537591 895985 1032105 1169719 1579245 1789811 2687955 3509157 5369433 5848595 8738489 8949055 17545785 26215467 26847165 43692445 131077335 148554313 445662939 742771565 2228314695