Search a number
-
+
213421032 = 233211377283
BaseRepresentation
bin11001011100010…
…00101111101000
3112212120220121200
430232020233220
5414113433112
633102204200
75201022516
oct1456105750
9485526550
10213421032
11aa51a420
125b583660
13352a6046
14204b74b6
1513b0acdc
hexcb88be8

213421032 has 96 divisors (see below), whose sum is σ = 647693280. Its totient is φ = 62916480.

The previous prime is 213421027. The next prime is 213421037. The reversal of 213421032 is 230124312.

213421032 is a `hidden beast` number, since 213 + 421 + 0 + 32 = 666.

213421032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213421027) and next prime (213421037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213420996 and 213421014.

It is not an unprimeable number, because it can be changed into a prime (213421037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25663 + ... + 32945.

It is an arithmetic number, because the mean of its divisors is an integer number (6746805).

Almost surely, 2213421032 is an apocalyptic number.

213421032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213421032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323846640).

213421032 is an abundant number, since it is smaller than the sum of its proper divisors (434272248).

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

213421032 is a wasteful number, since it uses less digits than its factorization.

213421032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7343 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213421032 is about 14608.9367169551. The cubic root of 213421032 is about 597.6024994116.

Adding to 213421032 its reverse (230124312), we get a palindrome (443545344).

The spelling of 213421032 in words is "two hundred thirteen million, four hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 132 148 198 222 264 296 333 396 407 444 666 792 814 888 1221 1332 1628 2442 2664 3256 3663 4884 7283 7326 9768 14566 14652 21849 29132 29304 43698 58264 65547 80113 87396 131094 160226 174792 240339 262188 269471 320452 480678 524376 538942 640904 721017 808413 961356 1077884 1442034 1616826 1922712 2155768 2425239 2884068 2964181 3233652 4850478 5768136 5928362 6467304 8892543 9700956 11856724 17785086 19401912 23713448 26677629 35570172 53355258 71140344 106710516 213421032