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214894446 = 231319373919
BaseRepresentation
bin11001100111100…
…00011101101110
3112222100202202120
430303300131232
5420003110241
633153533410
75216400264
oct1463603556
9488322676
10214894446
11100336418
125bb74266
13356a08a0
142077c434
1513cec666
hexccf076e

214894446 has 64 divisors (see below), whose sum is σ = 500505600. Its totient is φ = 60932736.

The previous prime is 214894441. The next prime is 214894447. The reversal of 214894446 is 644498412.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214894398 and 214894407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214894441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52875 + ... + 56793.

It is an arithmetic number, because the mean of its divisors is an integer number (7820400).

Almost surely, 2214894446 is an apocalyptic number.

214894446 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214894446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250252800).

214894446 is an abundant number, since it is smaller than the sum of its proper divisors (285611154).

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

214894446 is a wasteful number, since it uses less digits than its factorization.

214894446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993.

The product of its digits is 221184, while the sum is 42.

The square root of 214894446 is about 14659.2784952057. The cubic root of 214894446 is about 598.9745874357.

The spelling of 214894446 in words is "two hundred fourteen million, eight hundred ninety-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 13 19 26 37 38 39 57 74 78 111 114 222 247 481 494 703 741 962 1406 1443 1482 2109 2886 3919 4218 7838 9139 11757 18278 23514 27417 50947 54834 74461 101894 145003 148922 152841 223383 290006 305682 435009 446766 870018 967993 1885039 1935986 2755057 2903979 3770078 5510114 5655117 5807958 8265171 11310234 16530342 35815741 71631482 107447223 214894446