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3322441122 = 23711133714951
BaseRepresentation
bin1100011000001000…
…0110110110100010
322120112202111101220
43012002012312202
523301021103442
61305403235510
7145222166160
oct30602066642
98515674356
103322441122
111455482210
12788818b96
1340c43b8c0
1423737c230
15146a36eec
hexc6086da2

3322441122 has 128 divisors (see below), whose sum is σ = 9163542528. Its totient is φ = 775008000.

The previous prime is 3322441093. The next prime is 3322441127. The reversal of 3322441122 is 2211442233.

It is a happy number.

It is a super-2 number, since 2×33224411222 = 22077230018313237768, which contains 22 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 3322441092 and 3322441101.

It is not an unprimeable number, because it can be changed into a prime (3322441127) 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, 214747 + ... + 229697.

It is an arithmetic number, because the mean of its divisors is an integer number (71590176).

Almost surely, 23322441122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322441122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581771264).

3322441122 is an abundant number, since it is smaller than the sum of its proper divisors (5841101406).

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

3322441122 is a wasteful number, since it uses less digits than its factorization.

3322441122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15024.

The product of its digits is 2304, while the sum is 24.

The square root of 3322441122 is about 57640.6204165084. The cubic root of 3322441122 is about 1492.1727264589.

Adding to 3322441122 its reverse (2211442233), we get a palindrome (5533883355).

It can be divided in two parts, 3322 and 441122, that added together give a palindrome (444444).

The spelling of 3322441122 in words is "three billion, three hundred twenty-two million, four hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 14951 15873 17094 20202 29902 31746 37037 44853 74074 89706 104657 111111 164461 194363 209314 222222 313971 328922 388726 493383 553187 583089 627942 986766 1106374 1151227 1166178 1360541 1659561 2137993 2302454 2721082 3319122 3453681 3872309 4081623 4275986 6085057 6413979 6907362 7191431 7744618 8163246 11616927 12170114 12827958 14382862 14965951 18255171 21574293 23233854 29931902 36510342 42595399 43148586 44897853 50340017 79105741 85190798 89795706 100680034 127786197 151020051 158211482 237317223 255572394 302040102 474634446 553740187 1107480374 1661220561 3322441122