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213153336 = 233311283317
BaseRepresentation
bin11001011010001…
…11011000111000
3112212002022102000
430231013120320
5414031401321
633052341000
75165526204
oct1455073070
9485068360
10213153336
11aa357290
125b474760
1335211246
1420447b04
1513aa6826
hexcb47638

213153336 has 128 divisors (see below), whose sum is σ = 650246400. Its totient is φ = 64160640.

The previous prime is 213153287. The next prime is 213153341. The reversal of 213153336 is 633351312.

It is a happy number.

213153336 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 (27).

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, 672250 + ... + 672566.

It is an arithmetic number, because the mean of its divisors is an integer number (5080050).

Almost surely, 2213153336 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 213153336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325123200).

213153336 is an abundant number, since it is smaller than the sum of its proper divisors (437093064).

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

213153336 is a wasteful number, since it uses less digits than its factorization.

213153336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 213153336 is about 14599.7717790382. The cubic root of 213153336 is about 597.3525354004.

The spelling of 213153336 in words is "two hundred thirteen million, one hundred fifty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 283 297 317 396 566 594 634 792 849 951 1132 1188 1268 1698 1902 2264 2376 2536 2547 2853 3113 3396 3487 3804 5094 5706 6226 6792 6974 7608 7641 8559 9339 10188 10461 11412 12452 13948 15282 17118 18678 20376 20922 22824 24904 27896 28017 30564 31383 34236 37356 41844 56034 61128 62766 68472 74712 83688 84051 89711 94149 112068 125532 168102 179422 188298 224136 251064 269133 336204 358844 376596 538266 672408 717688 753192 807399 986821 1076532 1614798 1973642 2153064 2422197 2960463 3229596 3947284 4844394 5920926 6459192 7894568 8881389 9688788 11841852 17762778 19377576 23683704 26644167 35525556 53288334 71051112 106576668 213153336