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1122211368 = 233310350441
BaseRepresentation
bin100001011100011…
…1001011000101000
32220012122020121000
41002320321120220
54244241230433
6303204515000
736544432155
oct10270713050
92805566530
101122211368
11526506013
122739aba60
1314b6597c5
14a908122c
15687c2113
hex42e39628

1122211368 has 64 divisors (see below), whose sum is σ = 3147580800. Its totient is φ = 370431360.

The previous prime is 1122211367. The next prime is 1122211379. The reversal of 1122211368 is 8631122211.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is not an unprimeable number, because it can be changed into a prime (1122211367) 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 15 ways as a sum of consecutive naturals, for example, 2973 + ... + 47468.

It is an arithmetic number, because the mean of its divisors is an integer number (49180950).

Almost surely, 21122211368 is an apocalyptic number.

1122211368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122211368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573790400).

1122211368 is an abundant number, since it is smaller than the sum of its proper divisors (2025369432).

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

1122211368 is a wasteful number, since it uses less digits than its factorization.

1122211368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50559 (or 50549 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1122211368 is about 33499.4233980228. The cubic root of 1122211368 is about 1039.1818540853.

Adding to 1122211368 its reverse (8631122211), we get a palindrome (9753333579).

The spelling of 1122211368 in words is "one billion, one hundred twenty-two million, two hundred eleven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3708 5562 7416 11124 22248 50441 100882 151323 201764 302646 403528 453969 605292 907938 1210584 1361907 1815876 2723814 3631752 5195423 5447628 10390846 10895256 15586269 20781692 31172538 41563384 46758807 62345076 93517614 124690152 140276421 187035228 280552842 374070456 561105684 1122211368