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213323320 = 2357761869
BaseRepresentation
bin11001011011100…
…00111000111000
3112212101221120201
430231300320320
5414102321240
633100131544
75200134610
oct1455607070
9485357521
10213323320
11aa462a71
125b536bb4
1335270722
142048da40
1513adbd9a
hexcb70e38

213323320 has 32 divisors (see below), whose sum is σ = 548546400. Its totient is φ = 73139328.

The previous prime is 213323311. The next prime is 213323329. The reversal of 213323320 is 23323312.

It is a happy number.

213323320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213323311) and next prime (213323329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380655 + ... + 381214.

It is an arithmetic number, because the mean of its divisors is an integer number (17142075).

Almost surely, 2213323320 is an apocalyptic number.

213323320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213323320 is an abundant number, since it is smaller than the sum of its proper divisors (335223080).

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

213323320 is a wasteful number, since it uses less digits than its factorization.

213323320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761887 (or 761883 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 213323320 is about 14605.5920797481. The cubic root of 213323320 is about 597.5112840198.

Adding to 213323320 its reverse (23323312), we get a palindrome (236646632).

The spelling of 213323320 in words is "two hundred thirteen million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 761869 1523738 3047476 3809345 5333083 6094952 7618690 10666166 15237380 21332332 26665415 30474760 42664664 53330830 106661660 213323320