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216129320 = 235111513253
BaseRepresentation
bin11001110000111…
…01111100101000
3120001200111200122
430320131330220
5420312114240
633240222412
75233032431
oct1470357450
9501614618
10216129320
11100aaa180
126046aa08
1335a13994
14209c0488
1513e934b5
hexce1df28

216129320 has 64 divisors (see below), whose sum is σ = 534176640. Its totient is φ = 78048000.

The previous prime is 216129301. The next prime is 216129343. The reversal of 216129320 is 23921612.

It is a self number, because there is not a number n which added to its sum of digits gives 216129320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64814 + ... + 68066.

It is an arithmetic number, because the mean of its divisors is an integer number (8346510).

Almost surely, 2216129320 is an apocalyptic number.

216129320 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 216129320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267088320).

216129320 is an abundant number, since it is smaller than the sum of its proper divisors (318047320).

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

216129320 is a wasteful number, since it uses less digits than its factorization.

216129320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 216129320 is about 14701.3373541321. The cubic root of 216129320 is about 600.1197168523.

The spelling of 216129320 in words is "two hundred sixteen million, one hundred twenty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 755 1208 1510 1661 3020 3253 3322 6040 6506 6644 8305 13012 13288 16265 16610 26024 32530 33220 35783 65060 66440 71566 130120 143132 178915 286264 357830 491203 715660 982406 1431320 1964812 2456015 3929624 4912030 5403233 9824060 10806466 19648120 21612932 27016165 43225864 54032330 108064660 216129320