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2222889984 = 21032734457
BaseRepresentation
bin1000010001111110…
…1001110000000000
312201220202111210200
42010133221300000
514023024434414
61004324125200
7106041152550
oct20437516000
95656674720
102222889984
11a40844167
12520536800
132956b7323
14171319160
15d023e109
hex847e9c00

2222889984 has 132 divisors (see below), whose sum is σ = 7335694704. Its totient is φ = 635092992.

The previous prime is 2222889979. The next prime is 2222890027. The reversal of 2222889984 is 4899882222.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2222889984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47284 + ... + 81740.

Almost surely, 22222889984 is an apocalyptic number.

2222889984 is a gapful number since it is divisible by the number (24) 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 2222889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667847352).

2222889984 is an abundant number, since it is smaller than the sum of its proper divisors (5112804720).

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

2222889984 is a wasteful number, since it uses less digits than its factorization.

2222889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34490 (or 34469 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2222889984 is about 47147.5342303285. The cubic root of 2222889984 is about 1305.0865772481.

The spelling of 2222889984 in words is "two billion, two hundred twenty-two million, eight hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 34457 64512 68914 103371 137828 206742 241199 275656 310113 413484 482398 551312 620226 723597 826968 964796 1102624 1240452 1447194 1653936 1929592 2170791 2205248 2480904 2894388 3307872 3859184 4341582 4410496 4961808 5788776 6615744 7718368 8683164 8820992 9923616 11577552 13231488 15436736 17366328 17641984 19847232 23155104 26462976 30873472 34732656 35283968 39694464 46310208 52925952 61746944 69465312 79388928 92620416 105851904 123493888 138930624 158777856 185240832 246987776 277861248 317555712 370481664 555722496 740963328 1111444992 2222889984