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2243101312 = 27172344819
BaseRepresentation
bin1000010110110011…
…0000001010000000
312210022210100112101
42011230300022000
514043213220222
61010325240144
7106405021654
oct20554601200
95708710471
102243101312
11a51199241
12527263054
132999429aa
14173c9aa64
15d1dd2927
hex85b30280

2243101312 has 64 divisors (see below), whose sum is σ = 4937371200. Its totient is φ = 1009659904.

The previous prime is 2243101303. The next prime is 2243101331. The reversal of 2243101312 is 2131013422.

It is a happy number.

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

It is a super-2 number, since 2×22431013122 = 10063006991792242688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2243101312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27639 + ... + 72457.

It is an arithmetic number, because the mean of its divisors is an integer number (77146425).

Almost surely, 22243101312 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 2243101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468685600).

2243101312 is an abundant number, since it is smaller than the sum of its proper divisors (2694269888).

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

2243101312 is a wasteful number, since it uses less digits than its factorization.

2243101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44873 (or 44861 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2243101312 is about 47361.3905201273. The cubic root of 2243101312 is about 1309.0300906837.

Adding to 2243101312 its reverse (2131013422), we get a palindrome (4374114734).

The spelling of 2243101312 in words is "two billion, two hundred forty-three million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 6256 12512 25024 44819 50048 89638 179276 358552 717104 761923 1030837 1434208 1523846 2061674 2868416 3047692 4123348 5736832 6095384 8246696 12190768 16493392 17524229 24381536 32986784 35048458 48763072 65973568 70096916 97526144 131947136 140193832 280387664 560775328 1121550656 2243101312