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213323022 = 2321123139337
BaseRepresentation
bin11001011011100…
…00110100001110
3112212101221011200
430231300310032
5414102314042
633100130330
75200134003
oct1455606416
9485357150
10213323022
11aa462820
125b5369a6
1335270553
142048d8aa
1513adbc4c
hexcb70d0e

213323022 has 96 divisors (see below), whose sum is σ = 531498240. Its totient is φ = 61205760.

The previous prime is 213322981. The next prime is 213323029. The reversal of 213323022 is 220323312.

It is a happy number.

213323022 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 213322986 and 213323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213323029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632838 + ... + 633174.

It is an arithmetic number, because the mean of its divisors is an integer number (5536440).

Almost surely, 2213323022 is an apocalyptic number.

213323022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213323022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265749120).

213323022 is an abundant number, since it is smaller than the sum of its proper divisors (318175218).

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

213323022 is a wasteful number, since it uses less digits than its factorization.

213323022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213323022 is about 14605.5818781725. The cubic root of 213323022 is about 597.5110057904.

Adding to 213323022 its reverse (220323312), we get a palindrome (433646334).

The spelling of 213323022 in words is "two hundred thirteen million, three hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 139 198 207 253 278 337 414 417 506 674 759 834 1011 1251 1518 1529 2022 2277 2502 3033 3058 3197 3707 4554 4587 6066 6394 7414 7751 9174 9591 11121 13761 15502 19182 22242 23253 27522 28773 33363 35167 46506 46843 57546 66726 69759 70334 85261 93686 105501 139518 140529 170522 211002 255783 281058 316503 421587 511566 515273 633006 767349 843174 1030546 1077389 1534698 1545819 2154778 3091638 3232167 4637457 6464334 9274914 9696501 11851279 19393002 23702558 35553837 71107674 106661511 213323022