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213693424 = 24711231699
BaseRepresentation
bin11001011110010…
…11001111110000
3112220002202021021
430233023033300
5414201142144
633112105224
75203235620
oct1457131760
9486082237
10213693424
11aa69603a
125b695214
1335370019
1420548880
1513b61884
hexcbcb3f0

213693424 has 40 divisors (see below), whose sum is σ = 473878400. Its totient is φ = 91447488.

The previous prime is 213693419. The next prime is 213693427. The reversal of 213693424 is 424396312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 213693424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213693427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124927 + ... + 126625.

It is an arithmetic number, because the mean of its divisors is an integer number (11846960).

Almost surely, 2213693424 is an apocalyptic number.

It is an amenable number.

213693424 is an abundant number, since it is smaller than the sum of its proper divisors (260184976).

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

213693424 is a wasteful number, since it uses less digits than its factorization.

213693424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2831 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 213693424 is about 14618.2565307905. The cubic root of 213693424 is about 597.8566339017.

The spelling of 213693424 in words is "two hundred thirteen million, six hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1123 1699 2246 3398 4492 6796 7861 8984 11893 13592 15722 17968 23786 27184 31444 47572 62888 95144 125776 190288 1907977 3815954 7631908 13355839 15263816 26711678 30527632 53423356 106846712 213693424