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1222314401 = 71161433601
BaseRepresentation
bin100100011011011…
…0000100110100001
310011012000000010202
41020312300212201
510000403030101
6321142234545
742201333560
oct11066604641
93135000122
101222314401
11577a679a0
122a1425a55
13166308179
14b849bbd7
157249736b
hex48db09a1

1222314401 has 32 divisors (see below), whose sum is σ = 1555067136. Its totient is φ = 933120000.

The previous prime is 1222314397. The next prime is 1222314439. The reversal of 1222314401 is 1044132221.

It is a cyclic number.

It is not a de Polignac number, because 1222314401 - 22 = 1222314397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1222314481) 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 31 ways as a sum of consecutive naturals, for example, 2033501 + ... + 2034101.

It is an arithmetic number, because the mean of its divisors is an integer number (48595848).

Almost surely, 21222314401 is an apocalyptic number.

1222314401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1222314401 is a deficient number, since it is larger than the sum of its proper divisors (332752735).

1222314401 is a wasteful number, since it uses less digits than its factorization.

1222314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1222314401 is about 34961.6132493911. The cubic root of 1222314401 is about 1069.2049881042.

Adding to 1222314401 its reverse (1044132221), we get a palindrome (2266446622).

The spelling of 1222314401 in words is "one billion, two hundred twenty-two million, three hundred fourteen thousand, four hundred one".

Divisors: 1 7 11 61 77 427 433 601 671 3031 4207 4697 4763 6611 26413 33341 36661 46277 184891 256627 260233 290543 403271 1821631 2033801 2822897 2862563 15874213 20037941 111119491 174616343 1222314401