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214701660 = 2232531109353
BaseRepresentation
bin11001100110000…
…01011001011100
3112221222222022100
430303001121130
5414430423120
633145445100
75214635235
oct1463013134
9487888270
10214701660
11100214598
125baa0790
1335633c04
142072c08c
1513cb0490
hexccc165c

214701660 has 144 divisors (see below), whose sum is σ = 680359680. Its totient is φ = 54743040.

The previous prime is 214701637. The next prime is 214701667. The reversal of 214701660 is 66107412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214701667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 608044 + ... + 608396.

It is an arithmetic number, because the mean of its divisors is an integer number (4724720).

Almost surely, 2214701660 is an apocalyptic number.

214701660 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 214701660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340179840).

214701660 is an abundant number, since it is smaller than the sum of its proper divisors (465658020).

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

214701660 is a wasteful number, since it uses less digits than its factorization.

214701660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 503 counting only the distinct ones).

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

The square root of 214701660 is about 14652.7014574105. The cubic root of 214701660 is about 598.7954165831.

The spelling of 214701660 in words is "two hundred fourteen million, seven hundred one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 109 124 155 180 186 218 279 310 327 353 372 436 465 545 558 620 654 706 930 981 1059 1090 1116 1308 1395 1412 1635 1765 1860 1962 2118 2180 2790 3177 3270 3379 3530 3924 4236 4905 5295 5580 6354 6540 6758 7060 9810 10137 10590 10943 12708 13516 15885 16895 19620 20274 21180 21886 30411 31770 32829 33790 38477 40548 43772 50685 54715 60822 63540 65658 67580 76954 98487 101370 109430 115431 121644 131316 152055 153908 164145 192385 196974 202740 218860 230862 304110 328290 346293 384770 393948 461724 492435 577155 608220 656580 692586 769540 984870 1154310 1192787 1385172 1731465 1969740 2308620 2385574 3462930 3578361 4771148 5963935 6925860 7156722 10735083 11927870 14313444 17891805 21470166 23855740 35783610 42940332 53675415 71567220 107350830 214701660