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213424432 = 24133472957
BaseRepresentation
bin11001011100010…
…01100100110000
3112212121002021121
430232021210300
5414114040212
633102232024
75201035444
oct1456114460
9485532247
10213424432
11aa521a31
125b585614
13352a7760
14204b8824
1513b0bd07
hexcb89930

213424432 has 40 divisors (see below), whose sum is σ = 446752656. Its totient is φ = 98186496.

The previous prime is 213424411. The next prime is 213424439. The reversal of 213424432 is 234424312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213424397 and 213424406.

It is not an unprimeable number, because it can be changed into a prime (213424439) 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, 70698 + ... + 73654.

Almost surely, 2213424432 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 213424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223376328).

213424432 is an abundant number, since it is smaller than the sum of its proper divisors (233328224).

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

213424432 is a wasteful number, since it uses less digits than its factorization.

213424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325 (or 3319 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 213424432 is about 14609.0530836191. The cubic root of 213424432 is about 597.6056728535.

Adding to 213424432 its reverse (234424312), we get a palindrome (447848744).

The spelling of 213424432 in words is "two hundred thirteen million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 347 694 1388 2776 2957 4511 5552 5914 9022 11828 18044 23656 36088 38441 47312 72176 76882 153764 307528 615056 1026079 2052158 4104316 8208632 13339027 16417264 26678054 53356108 106712216 213424432