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213011232 = 253736469
BaseRepresentation
bin11001011001001…
…00101100100000
3112211211002110220
430230210230200
5414012324412
633045323040
75164365000
oct1454445440
9484732426
10213011232
11aa26a545
125b406480
1335191665
142040c000
1513a7968c
hexcb24b20

213011232 has 96 divisors (see below), whose sum is σ = 652176000. Its totient is φ = 60850944.

The previous prime is 213011219. The next prime is 213011233. The reversal of 213011232 is 232110312.

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

It is not an unprimeable number, because it can be changed into a prime (213011233) 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, 29694 + ... + 36162.

It is an arithmetic number, because the mean of its divisors is an integer number (6793500).

Almost surely, 2213011232 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 213011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326088000).

213011232 is an abundant number, since it is smaller than the sum of its proper divisors (439164768).

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

213011232 is an equidigital number, since it uses as much as digits as its factorization.

213011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503 (or 6481 counting only the distinct ones).

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

The square root of 213011232 is about 14594.9043162331. The cubic root of 213011232 is about 597.2197592229.

Adding to 213011232 its reverse (232110312), we get a palindrome (445121544).

The spelling of 213011232 in words is "two hundred thirteen million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 2058 2352 2744 4116 4704 5488 6469 8232 10976 12938 16464 19407 25876 32928 38814 45283 51752 77628 90566 103504 135849 155256 181132 207008 271698 310512 316981 362264 543396 621024 633962 724528 950943 1086792 1267924 1449056 1901886 2173584 2218867 2535848 3803772 4347168 4437734 5071696 6656601 7607544 8875468 10143392 13313202 15215088 17750936 26626404 30430176 35501872 53252808 71003744 106505616 213011232