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213322022232 = 233114172727109
BaseRepresentation
bin1100011010101011111…
…0111011110101011000
3202101121210000112102020
43012222332323311120
511443340414202412
6241555423134440
721261214161654
oct3065276736530
9671553015366
10213322022232
11825187a1730
1235415144420
131716832c677
14a479513a64
155837cd518c
hex31aafbbd58

213322022232 has 128 divisors (see below), whose sum is σ = 596819059200. Its totient is φ = 62977305600.

The previous prime is 213322022227. The next prime is 213322022299. The reversal of 213322022232 is 232220223312.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7855494 + ... + 7882602.

It is an arithmetic number, because the mean of its divisors is an integer number (4662648900).

Almost surely, 2213322022232 is an apocalyptic number.

213322022232 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 213322022232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298409529600).

213322022232 is an abundant number, since it is smaller than the sum of its proper divisors (383497036968).

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

213322022232 is a wasteful number, since it uses less digits than its factorization.

213322022232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27897 (or 27893 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 213322022232 its reverse (232220223312), we get a palindrome (445542245544).

The spelling of 213322022232 in words is "two hundred thirteen billion, three hundred twenty-two million, twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 727 902 984 1353 1454 1804 2181 2706 2908 3608 4362 5412 5816 7997 8724 10824 15994 17448 23991 27109 29807 31988 47982 54218 59614 63976 81327 89421 95964 108436 119228 162654 178842 191928 216872 238456 298199 325308 327877 357684 596398 650616 655754 715368 894597 983631 1111469 1192796 1311508 1789194 1967262 2222938 2385592 2623016 3334407 3578388 3934524 4445876 6668814 7156776 7869048 8891752 12226159 13337628 19708243 24452318 26675256 36678477 39416486 48904636 59124729 73356954 78832972 97809272 118249458 146713908 157665944 216790673 236498916 293427816 433581346 472997832 650372019 808037963 867162692 1300744038 1616075926 1734325384 2424113889 2601488076 3232151852 4848227778 5202976152 6464303704 8888417593 9696455556 17776835186 19392911112 26665252779 35553670372 53330505558 71107340744 106661011116 213322022232