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213246984 = 233233753197
BaseRepresentation
bin11001011010111…
…10010000001000
3112212021001212110
430231132100020
5414042400414
633054342320
75166366216
oct1455362010
9485231773
10213246984
11aa410685
125b4ba9a0
1335244a62
142046dcb6
1513ac4459
hexcb5e408

213246984 has 128 divisors (see below), whose sum is σ = 585066240. Its totient is φ = 64576512.

The previous prime is 213246983. The next prime is 213247043. The reversal of 213246984 is 489642312.

It is not an unprimeable number, because it can be changed into a prime (213246983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1082374 + ... + 1082570.

It is an arithmetic number, because the mean of its divisors is an integer number (4570830).

Almost surely, 2213246984 is an apocalyptic number.

213246984 is a gapful number since it is divisible by the number (24) 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 213246984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292533120).

213246984 is an abundant number, since it is smaller than the sum of its proper divisors (371819256).

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

213246984 is a wasteful number, since it uses less digits than its factorization.

213246984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 213246984 is about 14602.9786002719. The cubic root of 213246984 is about 597.4400040131.

The spelling of 213246984 in words is "two hundred thirteen million, two hundred forty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 53 69 74 92 106 111 138 148 159 184 197 212 222 276 296 318 394 424 444 552 591 636 788 851 888 1182 1219 1272 1576 1702 1961 2364 2438 2553 3404 3657 3922 4531 4728 4876 5106 5883 6808 7289 7314 7844 9062 9752 10212 10441 11766 13593 14578 14628 15688 18124 20424 20882 21867 23532 27186 29156 29256 31323 36248 41764 43734 45103 47064 54372 58312 62646 83528 87468 90206 108744 125292 135309 167647 174936 180412 240143 250584 270618 335294 360824 386317 480286 502941 541236 670588 720429 772634 960572 1005882 1082472 1158951 1341176 1440858 1545268 1921144 2011764 2317902 2881716 3090536 4023528 4635804 5763432 8885291 9271608 17770582 26655873 35541164 53311746 71082328 106623492 213246984