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4452221312 = 27711557811
BaseRepresentation
bin1000010010101111…
…11000000110000000
3102111021122021110122
410021113320012000
533104232040222
62013442315412
7215221154030
oct41127700600
912437567418
104452221312
111985187850
12a43058b68
1355c5184a6
1430342d8c0
151b0d01a42
hex1095f8180

4452221312 has 128 divisors (see below), whose sum is σ = 11091790080. Its totient is φ = 1729382400.

The previous prime is 4452221287. The next prime is 4452221321. The reversal of 4452221312 is 2131222544.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×44522213122 = 39644549222054002688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5489387 + ... + 5490197.

It is an arithmetic number, because the mean of its divisors is an integer number (86654610).

Almost surely, 24452221312 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 4452221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545895040).

4452221312 is an abundant number, since it is smaller than the sum of its proper divisors (6639568768).

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

4452221312 is a wasteful number, since it uses less digits than its factorization.

4452221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1388 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 4452221312 is about 66724.9676807715. The cubic root of 4452221312 is about 1645.0997943295.

Adding to 4452221312 its reverse (2131222544), we get a palindrome (6583443856).

The spelling of 4452221312 in words is "four billion, four hundred fifty-two million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 557 616 704 811 896 1114 1232 1408 1622 2228 2464 3244 3899 4456 4928 5677 6127 6488 7798 8912 8921 9856 11354 12254 12976 15596 17824 17842 22708 24508 25952 31192 35648 35684 42889 45416 49016 51904 62384 62447 71296 71368 85778 90832 98032 103808 124768 124894 142736 171556 181664 196064 249536 249788 285472 343112 363328 392128 451727 499072 499576 570944 686224 726656 784256 903454 999152 1141888 1372448 1806908 1998304 2744896 3162089 3613816 3996608 4968997 5489792 6324178 7227632 7993216 9937994 12648356 14455264 19875988 25296712 28910528 34782979 39751976 50593424 57821056 69565958 79503952 101186848 139131916 159007904 202373696 278263832 318015808 404747392 556527664 636031616 1113055328 2226110656 4452221312