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2214491888 = 247223127967
BaseRepresentation
bin1000001111111110…
…0111011011110000
312201022221211210002
42003333213123300
514013402220023
61003424125132
7105606604400
oct20377473360
95638854702
102214491888
11a37028594
125197667a8
13293a3693b
14170170800
15ce630b28
hex83fe76f0

2214491888 has 120 divisors (see below), whose sum is σ = 5254520832. Its totient is φ = 899724672.

The previous prime is 2214491869. The next prime is 2214491941. The reversal of 2214491888 is 8881944122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289581 + ... + 2290547.

Almost surely, 22214491888 is an apocalyptic number.

2214491888 is a gapful number since it is divisible by the number (28) 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 2214491888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627260416).

2214491888 is an abundant number, since it is smaller than the sum of its proper divisors (3040028944).

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

2214491888 is a wasteful number, since it uses less digits than its factorization.

2214491888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1126 counting only the distinct ones).

The product of its digits is 294912, while the sum is 47.

The square root of 2214491888 is about 47058.3880726911. The cubic root of 2214491888 is about 1303.4409606388.

The spelling of 2214491888 in words is "two billion, two hundred fourteen million, four hundred ninety-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 127 161 184 196 254 322 368 392 508 644 784 889 967 1016 1127 1288 1778 1934 2032 2254 2576 2921 3556 3868 4508 5842 6223 6769 7112 7736 9016 11684 12446 13538 14224 15472 18032 20447 22241 23368 24892 27076 40894 44482 46736 47383 49784 54152 81788 88964 94766 99568 108304 122809 143129 155687 163576 177928 189532 245618 286258 311374 327152 355856 379064 491236 572516 622748 758128 859663 982472 1089809 1145032 1245496 1719326 1964944 2179618 2290064 2490992 2824607 3438652 4359236 5649214 6017641 6877304 8718472 11298428 12035282 13754608 17436944 19772249 22596856 24070564 39544498 45193712 48141128 79088996 96282256 138405743 158177992 276811486 316355984 553622972 1107245944 2214491888