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216038070 = 23353153487
BaseRepresentation
bin11001110000001…
…11101010110110
3120001111212112000
430320013222312
5420301204240
633234240130
75232202413
oct1470075266
9501455460
10216038070
11100a47666
1260426046
13359b12a1
142099910a
1513e76430
hexce07ab6

216038070 has 128 divisors (see below), whose sum is σ = 607150080. Its totient is φ = 54587520.

The previous prime is 216038059. The next prime is 216038077. The reversal of 216038070 is 70830612.

216038070 is a `hidden beast` number, since 216 + 0 + 380 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216038077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443367 + ... + 443853.

It is an arithmetic number, because the mean of its divisors is an integer number (4743360).

Almost surely, 2216038070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216038070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303575040).

216038070 is an abundant number, since it is smaller than the sum of its proper divisors (391112010).

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

216038070 is a wasteful number, since it uses less digits than its factorization.

216038070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 216038070 is about 14698.2335673373. The cubic root of 216038070 is about 600.0352479293.

Adding to 216038070 its reverse (70830612), we get a palindrome (286868682).

The spelling of 216038070 in words is "two hundred sixteen million, thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 53 54 62 90 93 106 135 155 159 186 265 270 279 310 318 465 477 487 530 558 795 837 930 954 974 1395 1431 1461 1590 1643 1674 2385 2435 2790 2862 2922 3286 4185 4383 4770 4870 4929 7155 7305 8215 8370 8766 9858 13149 14310 14610 14787 15097 16430 21915 24645 25811 26298 29574 30194 43830 44361 45291 49290 51622 65745 73935 75485 77433 88722 90582 129055 131490 135873 147870 150970 154866 221805 226455 232299 258110 271746 387165 407619 443610 452910 464598 679365 696897 774330 800141 815238 1161495 1358730 1393794 1600282 2038095 2322990 2400423 3484485 4000705 4076190 4800846 6968970 7201269 8001410 12002115 14402538 21603807 24004230 36006345 43207614 72012690 108019035 216038070