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231212016 = 24337157487
BaseRepresentation
bin11011100100000…
…00001111110000
3121010001210021000
431302000033300
5433142241031
634535402000
75505161340
oct1562001760
9533053230
10231212016
11109571012
1265523300
1338b94b59
14229c8d20
15154723e6
hexdc803f0

231212016 has 160 divisors (see below), whose sum is σ = 764871680. Its totient is φ = 65505024.

The previous prime is 231211961. The next prime is 231212057. The reversal of 231212016 is 610212132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 231212016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474525 + ... + 475011.

It is an arithmetic number, because the mean of its divisors is an integer number (4780448).

Almost surely, 2231212016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382435840).

231212016 is an abundant number, since it is smaller than the sum of its proper divisors (533659664).

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

231212016 is a wasteful number, since it uses less digits than its factorization.

231212016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 231212016 is about 15205.6573682298. The cubic root of 231212016 is about 613.7669046271.

Adding to 231212016 its reverse (610212132), we get a palindrome (841424148).

The spelling of 231212016 in words is "two hundred thirty-one million, two hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 157 168 189 216 252 314 336 378 432 471 487 504 628 756 942 974 1008 1099 1256 1413 1461 1512 1884 1948 2198 2512 2826 2922 3024 3297 3409 3768 3896 4239 4383 4396 5652 5844 6594 6818 7536 7792 8478 8766 8792 9891 10227 11304 11688 13149 13188 13636 16956 17532 17584 19782 20454 22608 23376 26298 26376 27272 29673 30681 33912 35064 39564 40908 52596 52752 54544 59346 61362 67824 70128 76459 79128 81816 92043 105192 118692 122724 152918 158256 163632 184086 210384 229377 237384 245448 305836 368172 458754 474768 490896 535213 611672 688131 736344 917508 1070426 1223344 1376262 1472688 1605639 1835016 2064393 2140852 2752524 3211278 3670032 4128786 4281704 4816917 5505048 6422556 8257572 8563408 9633834 11010096 12845112 14450751 16515144 19267668 25690224 28901502 33030288 38535336 57803004 77070672 115606008 231212016