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4132224401 = 41269374669
BaseRepresentation
bin1111011001001100…
…1011110110010001
3101122222111202020012
43312103023312101
531430322140101
61522011524305
7204254220314
oct36623136621
911588452205
104132224401
111830595398
12973a59695
1350b1387c6
142b2b3297b
15192b92bbb
hexf64cbd91

4132224401 has 8 divisors (see below), whose sum is σ = 4248757800. Its totient is φ = 4016440960.

The previous prime is 4132224361. The next prime is 4132224403. The reversal of 4132224401 is 1044222314.

It can be written as a sum of positive squares in 4 ways, for example, as 3519376 + 4128705025 = 1876^2 + 64255^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4132224401 - 218 = 4131962257 is a prime.

It is a super-3 number, since 3×41322244013 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4132224403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176306 + ... + 198363.

It is an arithmetic number, because the mean of its divisors is an integer number (531094725).

Almost surely, 24132224401 is an apocalyptic number.

4132224401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4132224401 is a deficient number, since it is larger than the sum of its proper divisors (116533399).

4132224401 is a wasteful number, since it uses less digits than its factorization.

4132224401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374979.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4132224401 is about 64282.3801752860. The cubic root of 4132224401 is about 1604.7028821489.

Adding to 4132224401 its reverse (1044222314), we get a palindrome (5176446715).

The spelling of 4132224401 in words is "four billion, one hundred thirty-two million, two hundred twenty-four thousand, four hundred one".

Divisors: 1 41 269 11029 374669 15361429 100785961 4132224401