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213323352 = 233113721839
BaseRepresentation
bin11001011011100…
…00111001011000
3112212101221121220
430231300321120
5414102321402
633100132040
75200134654
oct1455607130
9485357556
10213323352
11aa462aa0
125b537020
1335270748
142048da64
1513adbdbc
hexcb70e58

213323352 has 64 divisors (see below), whose sum is σ = 597542400. Its totient is φ = 62893440.

The previous prime is 213323351. The next prime is 213323371. The reversal of 213323352 is 253323312.

213323352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 20687.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2213323352 is an apocalyptic number.

213323352 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 213323352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298771200).

213323352 is an abundant number, since it is smaller than the sum of its proper divisors (384219048).

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

213323352 is a wasteful number, since it uses less digits than its factorization.

213323352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21896 (or 21892 counting only the distinct ones).

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

The square root of 213323352 is about 14605.5931752189. The cubic root of 213323352 is about 597.5113138967.

Adding to 213323352 its reverse (253323312), we get a palindrome (466646664).

The spelling of 213323352 in words is "two hundred thirteen million, three hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 21839 43678 65517 87356 131034 174712 240229 262068 480458 524136 720687 808043 960916 1441374 1616086 1921832 2424129 2882748 3232172 4848258 5765496 6464344 8888473 9696516 17776946 19393032 26665419 35553892 53330838 71107784 106661676 213323352