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213424596 = 2232721117647
BaseRepresentation
bin11001011100010…
…01100111010100
3112212121002111200
430232021213110
5414114041341
633102232500
75201036100
oct1456114724
9485532450
10213424596
11aa522070
125b585730
13352a7858
14204b8900
1513b0bdb6
hexcb899d4

213424596 has 216 divisors, whose sum is σ = 726014016. Its totient is φ = 52093440.

The previous prime is 213424577. The next prime is 213424597. The reversal of 213424596 is 695424312.

It is a happy number.

213424596 is a `hidden beast` number, since 21 + 3 + 42 + 4 + 596 = 666.

213424596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213424596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213424597) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 329545 + ... + 330191.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2213424596 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 213424596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363007008).

213424596 is an abundant number, since it is smaller than the sum of its proper divisors (512589420).

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

213424596 is a wasteful number, since it uses less digits than its factorization.

213424596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 687 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 213424596 is about 14609.0586965759. The cubic root of 213424596 is about 597.6058259245.

The spelling of 213424596 in words is "two hundred thirteen million, four hundred twenty-four thousand, five hundred ninety-six".