Search a number
-
+
214402223331 = 322343149916069
BaseRepresentation
bin1100011110101101011…
…1100100110011100011
3202111102001121102202100
43013223113210303203
512003043432121311
6242254531421443
721330041554212
oct3075327446343
9674361542670
10214402223331
1182a2251380a
1235676a54883
13172ab06a60a
14a53cb7b079
15589ca59a56
hex31eb5e4ce3

214402223331 has 48 divisors (see below), whose sum is σ = 330913440000. Its totient is φ = 133443326016.

The previous prime is 214402223327. The next prime is 214402223333. The reversal of 214402223331 is 133322204412.

214402223331 is a `hidden beast` number, since 2 + 1 + 4 + 402 + 223 + 3 + 31 = 666.

It is not a de Polignac number, because 214402223331 - 22 = 214402223327 is a prime.

It is a super-2 number, since 2×2144022233312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214402223295 and 214402223304.

It is not an unprimeable number, because it can be changed into a prime (214402223333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13334565 + ... + 13350633.

It is an arithmetic number, because the mean of its divisors is an integer number (6894030000).

Almost surely, 2214402223331 is an apocalyptic number.

214402223331 is a deficient number, since it is larger than the sum of its proper divisors (116511216669).

214402223331 is a wasteful number, since it uses less digits than its factorization.

214402223331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17640 (or 17637 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 214402223331 its reverse (133322204412), we get a palindrome (347724427743).

The spelling of 214402223331 in words is "two hundred fourteen billion, four hundred two million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 9 23 43 69 129 207 387 989 1499 2967 4497 8901 13491 16069 34477 48207 64457 103431 144621 193371 310293 369587 580113 690967 1108761 1482511 2072901 3326283 4447533 6218703 13342599 15892241 24087431 47676723 72262293 143030169 216786879 554010913 1035759533 1662032739 3107278599 4986098217 9321835797 23822469259 71467407777 214402223331