Search a number
-
+
212645401 = 173729137
BaseRepresentation
bin11001010110010…
…11011000011001
3112211010111122121
430223023120121
5413414123101
633033421241
75161312303
oct1453133031
9484114577
10212645401
11aa03a701
125b26a821
1335093ca7
1420354973
1513a060a1
hexcacb619

212645401 has 12 divisors (see below), whose sum is σ = 231428988. Its totient is φ = 194706432.

The previous prime is 212645383. The next prime is 212645413. The reversal of 212645401 is 104546212.

It is a happy number.

212645401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 14258176 + 198387225 = 3776^2 + 14085^2 .

It is not a de Polignac number, because 212645401 - 25 = 212645369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212645431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18705 + ... + 27841.

It is an arithmetic number, because the mean of its divisors is an integer number (19285749).

Almost surely, 2212645401 is an apocalyptic number.

It is an amenable number.

212645401 is a deficient number, since it is larger than the sum of its proper divisors (18783587).

212645401 is an equidigital number, since it uses as much as digits as its factorization.

212645401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9228 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 212645401 is about 14582.3660974480. The cubic root of 212645401 is about 596.8776697559.

The spelling of 212645401 in words is "two hundred twelve million, six hundred forty-five thousand, four hundred one".

Divisors: 1 17 37 629 1369 9137 23273 155329 338069 5747173 12508553 212645401