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216244590208 = 2737155329401
BaseRepresentation
bin1100100101100100101…
…1101001011010000000
3202200011110100100222121
43021121023221122000
512020332103341313
6243201424014024
721423512455213
oct3113113513200
9680143310877
10216244590208
1183788485269
1235aaba61314
131751297262a
14a67572177a
15595968128d
hex32592e9680

216244590208 has 64 divisors (see below), whose sum is σ = 442742960520. Its totient is φ = 105128755200.

The previous prime is 216244590193. The next prime is 216244590217. The reversal of 216244590208 is 802095442612.

It can be written as a sum of positive squares in 4 ways, for example, as 143556116544 + 72688473664 = 378888^2 + 269608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7340308 + ... + 7369708.

Almost surely, 2216244590208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216244590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221371480260).

216244590208 is an abundant number, since it is smaller than the sum of its proper divisors (226498370312).

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

216244590208 is a wasteful number, since it uses less digits than its factorization.

216244590208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 216244590208 in words is "two hundred sixteen billion, two hundred forty-four million, five hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 1553 2368 3106 4736 6212 12424 24848 29401 49696 57461 58802 99392 114922 117604 198784 229844 235208 459688 470416 919376 940832 1087837 1838752 1881664 2175674 3677504 3763328 4351348 7355008 8702696 17405392 34810784 45659753 69621568 91319506 139243136 182639012 365278024 730556048 1461112096 1689410861 2922224192 3378821722 5844448384 6757643444 13515286888 27030573776 54061147552 108122295104 216244590208