Search a number
-
+
1122213222 = 23213101103461
BaseRepresentation
bin100001011100011…
…1001110101100110
32220012122100010200
41002320321311212
54244241310342
6303204531330
736544440444
oct10270716546
92805570120
101122213222
11526507449
122739b0b46
1314b65a5c0
14a9081b94
15687c294c
hex42e39d66

1122213222 has 96 divisors (see below), whose sum is σ = 2675889216. Its totient is φ = 337824000.

The previous prime is 1122213187. The next prime is 1122213227. The reversal of 1122213222 is 2223122211.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1122213195 and 1122213204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122213227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2434072 + ... + 2434532.

It is an arithmetic number, because the mean of its divisors is an integer number (27873846).

Almost surely, 21122213222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122213222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337944608).

1122213222 is an abundant number, since it is smaller than the sum of its proper divisors (1553675994).

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

1122213222 is a wasteful number, since it uses less digits than its factorization.

1122213222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 683 counting only the distinct ones).

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

The square root of 1122213222 is about 33499.4510701295. The cubic root of 1122213222 is about 1039.1824263607.

Adding to 1122213222 its reverse (2223122211), we get a palindrome (3345335433).

The spelling of 1122213222 in words is "one billion, one hundred twenty-two million, two hundred thirteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 103 117 202 206 234 303 309 461 606 618 909 922 927 1313 1339 1383 1818 1854 2626 2678 2766 3939 4017 4149 5993 7878 8034 8298 10403 11817 11986 12051 17979 20806 23634 24102 31209 35958 46561 47483 53937 62418 93122 93627 94966 107874 135239 139683 142449 187254 270478 279366 284898 405717 419049 427347 605293 617279 811434 838098 854694 1210586 1217151 1234558 1815879 1851837 2434302 3631758 3703674 4795783 5447637 5555511 9591566 10895274 11111022 14387349 28774698 43162047 62345179 86324094 124690358 187035537 374071074 561106611 1122213222