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213230540 = 225194711939
BaseRepresentation
bin11001011010110…
…10001111001100
3112212020020022102
430231122033030
5414041334130
633054134232
75166300245
oct1455321714
9485206272
10213230540
11aa3aa296
125b4b1378
133523a423
1420467ccc
1513abe645
hexcb5a3cc

213230540 has 48 divisors (see below), whose sum is σ = 481420800. Its totient is φ = 79077312.

The previous prime is 213230527. The next prime is 213230579. The reversal of 213230540 is 45032312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11891 + ... + 23829.

It is an arithmetic number, because the mean of its divisors is an integer number (10029600).

Almost surely, 2213230540 is an apocalyptic number.

213230540 is a gapful number since it is divisible by the number (20) 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 213230540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240710400).

213230540 is an abundant number, since it is smaller than the sum of its proper divisors (268190260).

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

213230540 is a wasteful number, since it uses less digits than its factorization.

213230540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12014 (or 12012 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 213230540 is about 14602.4155535993. The cubic root of 213230540 is about 597.4246469284.

Adding to 213230540 its reverse (45032312), we get a palindrome (258262852).

The spelling of 213230540 in words is "two hundred thirteen million, two hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 11939 17860 23878 47756 59695 119390 226841 238780 453682 561133 907364 1122266 1134205 2244532 2268410 2805665 4536820 5611330 10661527 11222660 21323054 42646108 53307635 106615270 213230540