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2213534232 = 23327213172167
BaseRepresentation
bin1000001111101111…
…1101101000011000
312201021011012010100
42003323331220120
514013131043412
61003351415400
7105565505400
oct20373755030
95637135110
102213534232
11a36534038
12519384560
1329378ca90
1416dda1800
15ce4e1edc
hex83efda18

2213534232 has 432 divisors, whose sum is σ = 8025741360. Its totient is φ = 546158592.

The previous prime is 2213534201. The next prime is 2213534291. The reversal of 2213534232 is 2324353122.

Its product of digits (8640) is a multiple of the sum of its prime factors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2213534196 and 2213534205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13254613 + ... + 13254779.

It is an arithmetic number, because the mean of its divisors is an integer number (18578105).

Almost surely, 22213534232 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 2213534232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012870680).

2213534232 is an abundant number, since it is smaller than the sum of its proper divisors (5812207128).

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

2213534232 is a wasteful number, since it uses less digits than its factorization.

2213534232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 2213534232 is about 47048.2117832336. The cubic root of 2213534232 is about 1303.2530427329.

Adding to 2213534232 its reverse (2324353122), we get a palindrome (4537887354).

The spelling of 2213534232 in words is "two billion, two hundred thirteen million, five hundred thirty-four thousand, two hundred thirty-two".