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2216950368 = 253315031481
BaseRepresentation
bin1000010000100011…
…1111101001100000
312201111120202011220
42010020333221200
514020014402433
61003552535040
7105636524103
oct20410775140
95644522156
102216950368
11a38457696
1251a551480
132943b7969
1417061073a
15ce9692b3
hex8423fa60

2216950368 has 96 divisors (see below), whose sum is σ = 6023227392. Its totient is φ = 713241600.

The previous prime is 2216950313. The next prime is 2216950397. The reversal of 2216950368 is 8630596122.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1496188 + ... + 1497668.

It is an arithmetic number, because the mean of its divisors is an integer number (62741952).

Almost surely, 22216950368 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 2216950368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011613696).

2216950368 is an abundant number, since it is smaller than the sum of its proper divisors (3806277024).

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

2216950368 is a wasteful number, since it uses less digits than its factorization.

2216950368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2216950368 is about 47084.5024185241. The cubic root of 2216950368 is about 1303.9231327091.

The spelling of 2216950368 in words is "two billion, two hundred sixteen million, nine hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 503 744 992 1006 1481 1488 1509 2012 2962 2976 3018 4024 4443 5924 6036 8048 8886 11848 12072 15593 16096 17772 23696 24144 31186 35544 45911 46779 47392 48288 62372 71088 91822 93558 124744 137733 142176 183644 187116 249488 275466 367288 374232 498976 550932 734576 744943 748464 1101864 1469152 1489886 1496928 2203728 2234829 2979772 4407456 4469658 5959544 8939316 11919088 17878632 23093233 23838176 35757264 46186466 69279699 71514528 92372932 138559398 184745864 277118796 369491728 554237592 738983456 1108475184 2216950368