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214230024 = 23322975417
BaseRepresentation
bin11001100010011…
…10010000001000
3112221010000100100
430301032100020
5414320330044
633131405400
75210632221
oct1461162010
9487100310
10214230024
11aaa22208
125b8b3860
13354ca338
1420648248
1513c1a869
hexcc4e408

214230024 has 24 divisors (see below), whose sum is σ = 580206510. Its totient is φ = 71409984.

The previous prime is 214230007. The next prime is 214230041. The reversal of 214230024 is 420032412.

It is an interprime number because it is at equal distance from previous prime (214230007) and next prime (214230041).

It can be written as a sum of positive squares in only one way, i.e., 213452100 + 777924 = 14610^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214229979 and 214230006.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1487637 + ... + 1487780.

Almost surely, 2214230024 is an apocalyptic number.

214230024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214230024 is an abundant number, since it is smaller than the sum of its proper divisors (365976486).

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

214230024 is a wasteful number, since it uses less digits than its factorization.

214230024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975429 (or 2975422 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214230024 is about 14636.5987852370. The cubic root of 214230024 is about 598.3566363694.

Adding to 214230024 its reverse (420032412), we get a palindrome (634262436).

The spelling of 214230024 in words is "two hundred fourteen million, two hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2975417 5950834 8926251 11901668 17852502 23803336 26778753 35705004 53557506 71410008 107115012 214230024