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213424464 = 24311404213
BaseRepresentation
bin11001011100010…
…01100101010000
3112212121002022210
430232021211100
5414114040324
633102232120
75201035521
oct1456114520
9485532283
10213424464
11aa521a60
125b585640
13352a7786
14204b8848
1513b0bd29
hexcb89950

213424464 has 40 divisors (see below), whose sum is σ = 601470432. Its totient is φ = 64673920.

The previous prime is 213424451. The next prime is 213424469. The reversal of 213424464 is 464424312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213424469) 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, 201579 + ... + 202634.

Almost surely, 2213424464 is an apocalyptic number.

213424464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213424464 is an abundant number, since it is smaller than the sum of its proper divisors (388045968).

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

213424464 is a wasteful number, since it uses less digits than its factorization.

213424464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404235 (or 404229 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 213424464 is about 14609.0541788303. The cubic root of 213424464 is about 597.6057027210.

Adding to 213424464 its reverse (464424312), we get a palindrome (677848776).

The spelling of 213424464 in words is "two hundred thirteen million, four hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 404213 808426 1212639 1616852 2425278 3233704 4446343 4850556 6467408 8892686 9701112 13339029 17785372 19402224 26678058 35570744 53356116 71141488 106712232 213424464