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214413784 = 23131925711
BaseRepresentation
bin11001100011110…
…11000111011000
3112221110100102021
430301323013120
5414342220114
633135344224
75212326034
oct1461730730
9487410367
10214413784
11100038282
125b982074
1335562b80
14206951c4
1513c55024
hexcc7b1d8

214413784 has 48 divisors (see below), whose sum is σ = 457017120. Its totient is φ = 93735360.

The previous prime is 214413767. The next prime is 214413811. The reversal of 214413784 is 487314412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34689 + ... + 40399.

It is an arithmetic number, because the mean of its divisors is an integer number (9521190).

Almost surely, 2214413784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214413784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228508560).

214413784 is an abundant number, since it is smaller than the sum of its proper divisors (242603336).

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

214413784 is a wasteful number, since it uses less digits than its factorization.

214413784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5745 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 214413784 is about 14642.8748543447. The cubic root of 214413784 is about 598.5276715181.

The spelling of 214413784 in words is "two hundred fourteen million, four hundred thirteen thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 5711 9386 11422 18772 22844 37544 45688 74243 108509 148486 217018 296972 434036 593944 868072 1410617 2061671 2821234 4123342 5642468 8246684 11284936 16493368 26801723 53603446 107206892 214413784