Search a number
-
+
1214094168 = 2332721731653
BaseRepresentation
bin100100001011101…
…1001101101011000
310010121112101002200
41020113121231120
54441302003133
6320250130200
742041426100
oct11027315530
93117471080
101214094168
11573362a11
1229a720960
131646ba721
14b735c200
15718c1913
hex485d9b58

1214094168 has 288 divisors, whose sum is σ = 4187064960. Its totient is φ = 315463680.

The previous prime is 1214094157. The next prime is 1214094179. The reversal of 1214094168 is 8614904121.

It is an interprime number because it is at equal distance from previous prime (1214094157) and next prime (1214094179).

It is a super-2 number, since 2×12140941682 = 2948049297543224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1858930 + ... + 1859582.

It is an arithmetic number, because the mean of its divisors is an integer number (14538420).

Almost surely, 21214094168 is an apocalyptic number.

1214094168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214094168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093532480).

1214094168 is an abundant number, since it is smaller than the sum of its proper divisors (2972970792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1214094168 is a wasteful number, since it uses less digits than its factorization.

1214094168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1214094168 is about 34843.8540922212. The cubic root of 1214094168 is about 1066.8027445318.

Adding to 1214094168 its reverse (8614904121), we get a palindrome (9828998289).

The spelling of 1214094168 in words is "one billion, two hundred fourteen million, ninety-four thousand, one hundred sixty-eight".