Search a number
-
+
122221314 = 2326790073
BaseRepresentation
bin1110100100011…
…11001100000010
322111222111010100
413102033030002
5222242040224
620043343230
73012602235
oct722171402
9274874110
10122221314
1162a99756
1234b21b16
131c424007
141233741c
15aae3ac9
hex748f302

122221314 has 12 divisors (see below), whose sum is σ = 264812886. Its totient is φ = 40740432.

The previous prime is 122221301. The next prime is 122221327. The reversal of 122221314 is 413122221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122221301) and next prime (122221327).

It can be written as a sum of positive squares in only one way, i.e., 80192025 + 42029289 = 8955^2 + 6483^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6790073 = 122221314 / (1 + 2 + 2 + 2 + 2 + 1 + 3 + 1 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3395019 + ... + 3395054.

Almost surely, 2122221314 is an apocalyptic number.

122221314 is an abundant number, since it is smaller than the sum of its proper divisors (142591572).

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

122221314 is a wasteful number, since it uses less digits than its factorization.

122221314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790081 (or 6790078 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122221314 is about 11055.3748918795. The cubic root of 122221314 is about 496.2672884062.

Adding to 122221314 its reverse (413122221), we get a palindrome (535343535).

The spelling of 122221314 in words is "one hundred twenty-two million, two hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 6790073 13580146 20370219 40740438 61110657 122221314