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4213223424 = 212361783
BaseRepresentation
bin1111101100100000…
…1011000000000000
3101212121220221000000
43323020023000000
532112041122144
61534024000000
7206256544134
oct37310130000
911777827000
104213223424
111872289133
12997000000
13521b58817
142bd7b93c4
15199d42769
hexfb20b000

4213223424 has 364 divisors, whose sum is σ = 13536577656. Its totient is φ = 1305870336.

The previous prime is 4213223353. The next prime is 4213223429. The reversal of 4213223424 is 4243223124.

4213223424 is a `hidden beast` number, since 4 + 2 + 13 + 223 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213223429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 50761687 + ... + 50761769.

Almost surely, 24213223424 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 4213223424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768288828).

4213223424 is an abundant number, since it is smaller than the sum of its proper divisors (9323354232).

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

4213223424 is an frugal number, since it uses more digits than its factorization.

4213223424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 4213223424 is about 64909.3477397516. The cubic root of 4213223424 is about 1615.1201301113.

Adding to 4213223424 its reverse (4243223124), we get a palindrome (8456446548).

It can be divided in two parts, 42132 and 23424, that added together give a palindrome (65556).

The spelling of 4213223424 in words is "four billion, two hundred thirteen million, two hundred twenty-three thousand, four hundred twenty-four".