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2224997712 = 243277927941
BaseRepresentation
bin1000010010011110…
…1100010101010000
312202001201121001200
42010213230111100
514024044411322
61004441231200
7106065111540
oct20447542520
95661647050
102224997712
11a41a53793
12521192500
13295c747c2
14171707320
15d05088ac
hex849ec550

2224997712 has 120 divisors (see below), whose sum is σ = 7206800640. Its totient is φ = 627644160.

The previous prime is 2224997699. The next prime is 2224997729. The reversal of 2224997712 is 2177994222.

It is a happy number.

It is a super-2 number, since 2×22249977122 = 9901229636810469888, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 65662 + ... + 93602.

It is an arithmetic number, because the mean of its divisors is an integer number (60056672).

Almost surely, 22224997712 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 2224997712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603400320).

2224997712 is an abundant number, since it is smaller than the sum of its proper divisors (4981802928).

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

2224997712 is a wasteful number, since it uses less digits than its factorization.

2224997712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28041 (or 28032 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2224997712 is about 47169.8814075253. The cubic root of 2224997712 is about 1305.4989381206.

The spelling of 2224997712 in words is "two billion, two hundred twenty-four million, nine hundred ninety-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1106 1264 1422 1659 1896 2212 2844 3318 3792 4424 4977 5688 6636 8848 9954 11376 13272 19908 26544 27941 39816 55882 79632 83823 111764 167646 195587 223528 251469 335292 391174 447056 502938 586761 670584 782348 1005876 1173522 1341168 1564696 1760283 2011752 2207339 2347044 3129392 3520566 4023504 4414678 4694088 6622017 7041132 8829356 9388176 13244034 14082264 15451373 17658712 19866051 26488068 28164528 30902746 35317424 39732102 46354119 52976136 61805492 79464204 92708238 105952272 123610984 139062357 158928408 185416476 247221968 278124714 317856816 370832952 556249428 741665904 1112498856 2224997712