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216169380 = 223257224509
BaseRepresentation
bin11001110001001…
…11101110100100
3120001202112122100
430320213232210
5420314410010
633241132100
75233260300
oct1470475644
9501675570
10216169380
11101027289
126048a030
1335a28c9b
14209d0d00
1513ea02c0
hexce27ba4

216169380 has 108 divisors (see below), whose sum is σ = 762800220. Its totient is φ = 49408128.

The previous prime is 216169379. The next prime is 216169397. The reversal of 216169380 is 83961612.

216169380 is a `hidden beast` number, since 2 + 1 + 616 + 9 + 38 + 0 = 666.

216169380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 69856164 = 12096^2 + 8358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3435 + ... + 21074.

It is an arithmetic number, because the mean of its divisors is an integer number (7062965).

Almost surely, 2216169380 is an apocalyptic number.

216169380 is a gapful number since it is divisible by the number (20) 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 216169380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381400110).

216169380 is an abundant number, since it is smaller than the sum of its proper divisors (546630840).

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

216169380 is a wasteful number, since it uses less digits than its factorization.

216169380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24538 (or 24526 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 216169380 is about 14702.6997520863. The cubic root of 216169380 is about 600.1567923567.

The spelling of 216169380 in words is "two hundred sixteen million, one hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 24509 49018 73527 98036 122545 147054 171563 220581 245090 294108 343126 367635 441162 490180 514689 686252 735270 857815 882324 1029378 1102905 1200941 1470540 1544067 1715630 2058756 2205810 2401882 2573445 3088134 3431260 3602823 4411620 4803764 5146890 6004705 6176268 7205646 7720335 10293780 10808469 12009410 14411292 15440670 18014115 21616938 24018820 30881340 36028230 43233876 54042345 72056460 108084690 216169380