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213325332 = 2231110116001
BaseRepresentation
bin11001011011100…
…01011000010100
3112212102001100020
430231301120110
5414102402312
633100145140
75200143513
oct1455613024
9485361306
10213325332
11aa464530
125b5381b0
133527160c
142049067a
1513adc78c
hexcb71614

213325332 has 48 divisors (see below), whose sum is σ = 548420544. Its totient is φ = 64000000.

The previous prime is 213325327. The next prime is 213325423. The reversal of 213325332 is 233523312.

213325332 is an astonishing number since 213325332 = 5332 + ... + 21332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5332 + ... + 21332.

It is an arithmetic number, because the mean of its divisors is an integer number (11425428).

Almost surely, 2213325332 is an apocalyptic number.

213325332 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 213325332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274210272).

213325332 is an abundant number, since it is smaller than the sum of its proper divisors (335095212).

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

213325332 is a wasteful number, since it uses less digits than its factorization.

213325332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16118 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 213325332 is about 14605.6609573138. The cubic root of 213325332 is about 597.5131625281.

The spelling of 213325332 in words is "two hundred thirteen million, three hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 16001 32002 48003 64004 96006 176011 192012 352022 528033 704044 1056066 1616101 2112132 3232202 4848303 6464404 9696606 17777111 19393212 35554222 53331333 71108444 106662666 213325332