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2214142336 = 2778532897
BaseRepresentation
bin1000001111111001…
…0010000110000000
312201022022002021201
42003332102012000
514013310023321
61003412430544
7105603620320
oct20376220600
95638262251
102214142336
11a369099aa
12519618454
132939437c3
141700bd280
15ce5b2291
hex83f92180

2214142336 has 64 divisors (see below), whose sum is σ = 5048779680. Its totient is φ = 947478528.

The previous prime is 2214142331. The next prime is 2214142349. The reversal of 2214142336 is 6332414122.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214142331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 762840 + ... + 765736.

Almost surely, 22214142336 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 2214142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524389840).

2214142336 is an abundant number, since it is smaller than the sum of its proper divisors (2834637344).

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

2214142336 is an equidigital number, since it uses as much as digits as its factorization.

2214142336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3759 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 2214142336 is about 47054.6739017497. The cubic root of 2214142336 is about 1303.3723753993.

Adding to 2214142336 its reverse (6332414122), we get a palindrome (8546556458).

The spelling of 2214142336 in words is "two billion, two hundred fourteen million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 853 896 1706 2897 3412 5794 5971 6824 11588 11942 13648 20279 23176 23884 27296 40558 46352 47768 54592 81116 92704 95536 109184 162232 185408 191072 324464 370816 382144 648928 764288 1297856 2471141 2595712 4942282 9884564 17297987 19769128 34595974 39538256 69191948 79076512 138383896 158153024 276767792 316306048 553535584 1107071168 2214142336