Search a number
-
+
2214217431 = 33597119577
BaseRepresentation
bin1000001111111010…
…0100011011010111
312201022102220022000
42003332210123113
514013314424211
61003414210343
7105604352256
oct20376443327
95638386260
102214217431
11a36960368
125196539b3
1329396ba3a
141700dc79d
15ce5c9656
hex83fa46d7

2214217431 has 32 divisors (see below), whose sum is σ = 3383078400. Its totient is φ = 1430614080.

The previous prime is 2214217409. The next prime is 2214217457. The reversal of 2214217431 is 1347124122.

2214217431 is a `hidden beast` number, since 2 + 2 + 14 + 217 + 431 = 666.

It is not a de Polignac number, because 2214217431 - 25 = 2214217399 is a prime.

It is a super-2 number, since 2×22142174312 = 9805517663488479522, 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 = 2214217395 and 2214217404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214217931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103315 + ... + 122891.

It is an arithmetic number, because the mean of its divisors is an integer number (105721200).

Almost surely, 22214217431 is an apocalyptic number.

2214217431 is a deficient number, since it is larger than the sum of its proper divisors (1168860969).

2214217431 is a wasteful number, since it uses less digits than its factorization.

2214217431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19716 (or 19710 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2214217431 is about 47055.4718497222. The cubic root of 2214217431 is about 1303.3871103210.

The spelling of 2214217431 in words is "two billion, two hundred fourteen million, two hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 59 71 177 213 531 639 1593 1917 4189 12567 19577 37701 58731 113103 176193 528579 1155043 1389967 3465129 4169901 10395387 12509703 31186161 37529109 82008053 246024159 738072477 2214217431