Search a number
-
+
214451676 = 223231192161
BaseRepresentation
bin11001100100001…
…00010111011100
3112221112021101200
430302010113130
5414344423201
633140235500
75212544355
oct1462042734
9487467350
10214451676
1110006379a
125b99bb90
13355771aa
14206a4d2c
1513c61386
hexcc845dc

214451676 has 36 divisors (see below), whose sum is σ = 559575744. Its totient is φ = 69177600.

The previous prime is 214451659. The next prime is 214451683. The reversal of 214451676 is 676154412.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 214451676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94965 + ... + 97196.

Almost surely, 2214451676 is an apocalyptic number.

It is an amenable number.

214451676 is an abundant number, since it is smaller than the sum of its proper divisors (345124068).

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

214451676 is a wasteful number, since it uses less digits than its factorization.

214451676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192202 (or 192197 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 214451676 is about 14644.1686687910. The cubic root of 214451676 is about 598.5629274521.

The spelling of 214451676 in words is "two hundred fourteen million, four hundred fifty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 192161 384322 576483 768644 1152966 1729449 2305932 3458898 5956991 6917796 11913982 17870973 23827964 35741946 53612919 71483892 107225838 214451676