Search a number
-
+
3317221431 = 35131104207
BaseRepresentation
bin1100010110111000…
…1100100000110111
322120011221022100000
43011232030200313
523243202041211
61305055322343
7145126626336
oct30556144067
98504838300
103317221431
111452537617
12786b203b3
1340b331b24
142367bdd1d
15146355656
hexc5b8c837

3317221431 has 24 divisors (see below), whose sum is σ = 5006985984. Its totient is φ = 2194578360.

The previous prime is 3317221393. The next prime is 3317221447. The reversal of 3317221431 is 1341227133.

It is a happy number.

3317221431 is a `hidden beast` number, since 3 + 3 + 1 + 7 + 221 + 431 = 666.

3317221431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3317221431 - 223 = 3308832823 is a prime.

It is a super-2 number, since 2×33172214312 = 22007916044571375522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3317221395 and 3317221404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3317221451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20271 + ... + 83936.

It is an arithmetic number, because the mean of its divisors is an integer number (208624416).

It is a self-describing number.

Almost surely, 23317221431 is an apocalyptic number.

3317221431 is a deficient number, since it is larger than the sum of its proper divisors (1689764553).

3317221431 is a wasteful number, since it uses less digits than its factorization.

3317221431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104353 (or 104341 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 3317221431 is about 57595.3247321343. The cubic root of 3317221431 is about 1491.3908954089.

Adding to 3317221431 its reverse (1341227133), we get a palindrome (4658448564).

The spelling of 3317221431 in words is "three billion, three hundred seventeen million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 81 131 243 393 1179 3537 10611 31833 104207 312621 937863 2813589 8440767 13651117 25322301 40953351 122860053 368580159 1105740477 3317221431