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2114554112 = 28111744171
BaseRepresentation
bin111111000001001…
…1000100100000000
312110100220110220222
41332002120210000
513312311212422
6545454122212
7103254261536
oct17602304400
95410813828
102114554112
11995679890
124b01b0368
13279115568
14160b98156
15c598e842
hex7e098900

2114554112 has 72 divisors (see below), whose sum is σ = 4875528672. Its totient is φ = 904601600.

The previous prime is 2114554097. The next prime is 2114554171.

It is a happy number.

2114554112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21145541122 = 8942678185152217088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25787 + ... + 69957.

It is an arithmetic number, because the mean of its divisors is an integer number (67715676).

Almost surely, 22114554112 is an apocalyptic number.

2114554112 is a gapful number since it is divisible by the number (22) 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 2114554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437764336).

2114554112 is an abundant number, since it is smaller than the sum of its proper divisors (2760974560).

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

2114554112 is a wasteful number, since it uses less digits than its factorization.

2114554112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44215 (or 44201 counting only the distinct ones).

The product of its digits is 1600, while the sum is 26.

The square root of 2114554112 is about 45984.2811404071. The cubic root of 2114554112 is about 1283.5307207415.

It can be divided in two parts, 21145 and 54112, that added together give a palindrome (75257).

The spelling of 2114554112 in words is "two billion, one hundred fourteen million, five hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 44171 47872 88342 176684 353368 485881 706736 750907 971762 1413472 1501814 1943524 2826944 3003628 3887048 5653888 6007256 7774096 8259977 11307776 12014512 15548192 16519954 24029024 31096384 33039908 48058048 62192768 66079816 96116096 124385536 132159632 192232192 264319264 528638528 1057277056 2114554112