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216629880 = 233513713177
BaseRepresentation
bin11001110100110…
…00001001111000
3120002121221022220
430322120021320
5420424124010
633255044040
75240215665
oct1472301170
9502557286
10216629880
11101311265
1260670620
1335b5a77c
1420ab0a6c
1514041970
hexce98278

216629880 has 64 divisors (see below), whose sum is σ = 654683040. Its totient is φ = 57341952.

The previous prime is 216629879. The next prime is 216629899. The reversal of 216629880 is 88926612.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9852 + ... + 23028.

Almost surely, 2216629880 is an apocalyptic number.

216629880 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 216629880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327341520).

216629880 is an abundant number, since it is smaller than the sum of its proper divisors (438053160).

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

216629880 is a wasteful number, since it uses less digits than its factorization.

216629880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13328 (or 13324 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 216629880 is about 14718.3518099005. The cubic root of 216629880 is about 600.5826562253.

The spelling of 216629880 in words is "two hundred sixteen million, six hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 13177 16440 26354 39531 52708 65885 79062 105416 131770 158124 197655 263540 316248 395310 527080 790620 1581240 1805249 3610498 5415747 7220996 9026245 10831494 14441992 18052490 21662988 27078735 36104980 43325976 54157470 72209960 108314940 216629880