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2243011122 = 233112973539
BaseRepresentation
bin1000010110110001…
…1010001000110010
312210022121202211000
42011230122020302
514043202323442
61010323302430
7106404165012
oct20554321062
95708552730
102243011122
11a51137500
1252721aa16
13299910921
14173c75c42
15d1db5d4c
hex85b1a232

2243011122 has 96 divisors (see below), whose sum is σ = 5536843200. Its totient is φ = 672503040.

The previous prime is 2243011117. The next prime is 2243011139. The reversal of 2243011122 is 2211103422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2243011095 and 2243011104.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 632029 + ... + 635567.

It is an arithmetic number, because the mean of its divisors is an integer number (57675450).

Almost surely, 22243011122 is an apocalyptic number.

2243011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768421600).

2243011122 is an abundant number, since it is smaller than the sum of its proper divisors (3293832078).

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

2243011122 is a wasteful number, since it uses less digits than its factorization.

2243011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2243011122 is about 47360.4383636807. The cubic root of 2243011122 is about 1309.0125460747.

Adding to 2243011122 its reverse (2211103422), we get a palindrome (4454114544).

The spelling of 2243011122 in words is "two billion, two hundred forty-three million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 97 99 121 194 198 242 291 297 363 582 594 726 873 1067 1089 1746 2134 2178 2619 3201 3267 3539 5238 6402 6534 7078 9603 10617 11737 19206 21234 23474 28809 31851 35211 38929 57618 63702 70422 77858 95553 105633 116787 191106 211266 233574 316899 343283 350361 428219 633798 686566 700722 856438 1029849 1051083 1284657 2059698 2102166 2569314 3089547 3776113 3853971 6179094 7552226 7707942 9268641 11328339 11561913 18537282 22656678 23123826 33985017 41537243 67970034 83074486 101955051 124611729 203910102 249223458 373835187 747670374 1121505561 2243011122