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214223424 = 26310111047
BaseRepresentation
bin11001100010011…
…00101001000000
3112221002200021220
430301030221000
5414320122144
633131315040
75210604042
oct1461145100
9487080256
10214223424
11aaa18258
125b8aba80
13354c732c
1420645a92
1513c18919
hexcc4ca40

214223424 has 56 divisors (see below), whose sum is σ = 572463168. Its totient is φ = 70694400.

The previous prime is 214223419. The next prime is 214223453. The reversal of 214223424 is 424322412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214223394 and 214223403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13869 + ... + 24915.

Almost surely, 2214223424 is an apocalyptic number.

214223424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286231584).

214223424 is an abundant number, since it is smaller than the sum of its proper divisors (358239744).

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

214223424 is a wasteful number, since it uses less digits than its factorization.

214223424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11163 (or 11153 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 214223424 is about 14636.3733212842. The cubic root of 214223424 is about 598.3504915812.

Adding to 214223424 its reverse (424322412), we get a palindrome (638545836).

The spelling of 214223424 in words is "two hundred fourteen million, two hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 9696 11047 19392 22094 33141 44188 66282 88376 132564 176752 265128 353504 530256 707008 1060512 1115747 2121024 2231494 3347241 4462988 6694482 8925976 13388964 17851952 26777928 35703904 53555856 71407808 107111712 214223424