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213093552 = 24374432
BaseRepresentation
bin11001011001110…
…00110010110000
3112211222021101210
430230320302300
5414022443202
633051200120
75165160000
oct1454706260
9484867353
10213093552
11aa316381
125b446040
13351bcc79
1420430000
1513a93c6c
hexcb38cb0

213093552 has 150 divisors (see below), whose sum is σ = 657484332. Its totient is φ = 59467968.

The previous prime is 213093547. The next prime is 213093697. The reversal of 213093552 is 255390312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4955643 + ... + 4955685.

Almost surely, 2213093552 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 213093552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328742166).

213093552 is an abundant number, since it is smaller than the sum of its proper divisors (444390780).

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

213093552 is an frugal number, since it uses more digits than its factorization.

213093552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 213093552 is about 14597.7242061905. The cubic root of 213093552 is about 597.2966828641.

The spelling of 213093552 in words is "two hundred thirteen million, ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 343 344 392 516 588 602 686 688 784 903 1029 1032 1176 1204 1372 1806 1849 2058 2064 2107 2352 2401 2408 2744 3612 3698 4116 4214 4802 4816 5488 5547 6321 7203 7224 7396 8232 8428 9604 11094 12642 12943 14406 14448 14749 14792 16464 16856 19208 22188 25284 25886 28812 29498 29584 33712 38416 38829 44247 44376 50568 51772 57624 58996 77658 88494 88752 90601 101136 103243 103544 115248 117992 155316 176988 181202 206486 207088 235984 271803 309729 310632 353976 362404 412972 543606 619458 621264 634207 707952 724808 825944 1087212 1238916 1268414 1449616 1651888 1902621 2174424 2477832 2536828 3805242 4348848 4439449 4955664 5073656 7610484 8878898 10147312 13318347 15220968 17757796 26636694 30441936 35515592 53273388 71031184 106546776 213093552