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2232231241401 = 33714338241973
BaseRepresentation
bin100000011110111011010…
…110011010011010111001
321220101210000220020122000
4200132323112122122321
5243033102144211101
64425250050251213
7320162525325630
oct40367326323271
97811700806560
102232231241401
11790758383777
12300755886b09
13132663298005
147a07d46a517
153d0eadb9486
hex207bb59a6b9

2232231241401 has 32 divisors (see below), whose sum is σ = 3782077029120. Its totient is φ = 1274670421632.

The previous prime is 2232231241399. The next prime is 2232231241403. The reversal of 2232231241401 is 1041421322322.

2232231241401 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 231 + 24 + 1 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (2232231241399) and next prime (2232231241403).

It is not a de Polignac number, because 2232231241401 - 21 = 2232231241399 is a prime.

It is a super-3 number, since 3×22322312414013 (a number of 38 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2232231241403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3850150 + ... + 4391823.

It is an arithmetic number, because the mean of its divisors is an integer number (118189907160).

Almost surely, 22232231241401 is an apocalyptic number.

2232231241401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2232231241401 is a deficient number, since it is larger than the sum of its proper divisors (1549845787719).

2232231241401 is a wasteful number, since it uses less digits than its factorization.

2232231241401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243422 (or 8243416 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2232231241401 its reverse (1041421322322), we get a palindrome (3273652563723).

The spelling of 2232231241401 in words is "two trillion, two hundred thirty-two billion, two hundred thirty-one million, two hundred forty-one thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 189 1433 4299 10031 12897 30093 38691 90279 270837 8241973 24725919 57693811 74177757 173081433 222533271 519244299 1557732897 11810747309 35432241927 82675231163 106296725781 248025693489 318890177343 744077080467 2232231241401