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213230112 = 25337173347
BaseRepresentation
bin11001011010110…
…10001000100000
3112212020012201120
430231122020200
5414041330422
633054132240
75166266064
oct1455321040
9485205646
10213230112
11aa3a9a37
125b4b1080
133523a184
1420467aa4
1513abe45c
hexcb5a220

213230112 has 96 divisors (see below), whose sum is σ = 579845952. Its totient is φ = 68557824.

The previous prime is 213230107. The next prime is 213230119. The reversal of 213230112 is 211032312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 213230091 and 213230100.

It is not an unprimeable number, because it can be changed into a prime (213230119) 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 15 ways as a sum of consecutive naturals, for example, 614323 + ... + 614669.

It is an arithmetic number, because the mean of its divisors is an integer number (6040062).

Almost surely, 2213230112 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 213230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289922976).

213230112 is an abundant number, since it is smaller than the sum of its proper divisors (366615840).

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

213230112 is a wasteful number, since it uses less digits than its factorization.

213230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213230112 is about 14602.4008984824. The cubic root of 213230112 is about 597.4242472078.

Adding to 213230112 its reverse (211032312), we get a palindrome (424262424).

The spelling of 213230112 in words is "two hundred thirteen million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 173 222 296 346 347 444 519 592 692 694 888 1038 1041 1184 1384 1388 1776 2076 2082 2768 2776 3552 4152 4164 5536 5552 6401 8304 8328 11104 12802 12839 16608 16656 19203 25604 25678 33312 38406 38517 51208 51356 60031 76812 77034 102416 102712 120062 153624 154068 180093 204832 205424 240124 307248 308136 360186 410848 480248 614496 616272 720372 960496 1232544 1440744 1920992 2221147 2881488 4442294 5762976 6663441 8884588 13326882 17769176 26653764 35538352 53307528 71076704 106615056 213230112