Search a number
-
+
3812222394 = 2364163773
BaseRepresentation
bin1110001100111001…
…1110010110111010
3100211200100222000000
43203032132112322
530301412104034
61430141053430
7163320233001
oct34316362672
910750328000
103812222394
11168699a122
128a4857276
13489a566c6
14282433c38
15174a32599
hexe339e5ba

3812222394 has 56 divisors (see below), whose sum is σ = 8782827732. Its totient is φ = 1239727680.

The previous prime is 3812222357. The next prime is 3812222399. The reversal of 3812222394 is 4932222183.

3812222394 is a `hidden beast` number, since 38 + 12 + 222 + 394 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2718266769 + 1093955625 = 52137^2 + 33075^2 .

It is a super-3 number, since 3×38122223943 (a number of 30 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (3812222399) 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 27 ways as a sum of consecutive naturals, for example, 27892 + ... + 91664.

Almost surely, 23812222394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812222394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391413866).

3812222394 is an abundant number, since it is smaller than the sum of its proper divisors (4970605338).

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

3812222394 is an equidigital number, since it uses as much as digits as its factorization.

3812222394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63834 (or 63819 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3812222394 is about 61743.1971475401. The cubic root of 3812222394 is about 1562.1620244271.

It can be divided in two parts, 38122 and 22394, that added together give a square (60516 = 2462).

The spelling of 3812222394 in words is "three billion, eight hundred twelve million, two hundred twenty-two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 243 246 369 486 729 738 1107 1458 2214 3321 6642 9963 19926 29889 59778 63773 127546 191319 382638 573957 1147914 1721871 2614693 3443742 5165613 5229386 7844079 10331226 15496839 15688158 23532237 30993678 46490517 47064474 70596711 92981034 141193422 211790133 423580266 635370399 1270740798 1906111197 3812222394