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216554660 = 225723109617
BaseRepresentation
bin11001110100001…
…01110010100100
3120002111010010222
430322011302210
5420414222120
633253303512
75236453460
oct1472056244
9502433128
10216554660
1110126a7a3
1260634b98
1335b3246a
1420a914a0
1514029525
hexce85ca4

216554660 has 96 divisors (see below), whose sum is σ = 548190720. Its totient is φ = 70253568.

The previous prime is 216554651. The next prime is 216554671. The reversal of 216554660 is 66455612.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 216554660.

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 31 ways as a sum of consecutive naturals, for example, 350672 + ... + 351288.

It is an arithmetic number, because the mean of its divisors is an integer number (5710320).

Almost surely, 2216554660 is an apocalyptic number.

216554660 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 216554660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274095360).

216554660 is an abundant number, since it is smaller than the sum of its proper divisors (331636060).

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

216554660 is a wasteful number, since it uses less digits than its factorization.

216554660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 216554660 is about 14715.7962747518. The cubic root of 216554660 is about 600.5131351029.

The spelling of 216554660 in words is "two hundred sixteen million, five hundred fifty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 109 115 140 161 218 230 322 436 460 545 617 644 763 805 1090 1234 1526 1610 2180 2468 2507 3052 3085 3220 3815 4319 5014 6170 7630 8638 10028 12340 12535 14191 15260 17276 17549 21595 25070 28382 35098 43190 50140 56764 67253 70196 70955 86380 87745 99337 134506 141910 175490 198674 269012 283820 336265 350980 397348 470771 496685 672530 941542 993370 1345060 1546819 1883084 1986740 2353855 3093638 4707710 6187276 7734095 9415420 10827733 15468190 21655466 30936380 43310932 54138665 108277330 216554660