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4228840872 = 233429322273
BaseRepresentation
bin1111110000001110…
…1111110110101000
3101220201022101010000
43330003233312220
532130040401442
61535342423000
7206536361064
oct37403576650
911821271100
104228840872
111880085813
129a0291a60
13525166209
142c18c2aa4
1519b3c9d4c
hexfc0efda8

4228840872 has 80 divisors (see below), whose sum is σ = 11885629140. Its totient is φ = 1404739584.

The previous prime is 4228840853. The next prime is 4228840873. The reversal of 4228840872 is 2780488224.

It can be written as a sum of positive squares in 2 ways, for example, as 4192044516 + 36796356 = 64746^2 + 6066^2 .

It is not an unprimeable number, because it can be changed into a prime (4228840873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 178728 + ... + 201000.

Almost surely, 24228840872 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 4228840872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942814570).

4228840872 is an abundant number, since it is smaller than the sum of its proper divisors (7656788268).

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

4228840872 is a wasteful number, since it uses less digits than its factorization.

4228840872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22584 (or 22571 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 4228840872 is about 65029.5384575348. The cubic root of 4228840872 is about 1617.1132954030.

The spelling of 4228840872 in words is "four billion, two hundred twenty-eight million, eight hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 586 648 879 1172 1758 2344 2637 3516 5274 7032 7911 10548 15822 21096 22273 23733 31644 44546 47466 63288 66819 89092 94932 133638 178184 189864 200457 267276 400914 534552 601371 801828 1202742 1603656 1804113 2405484 3608226 4810968 6525989 7216452 13051978 14432904 19577967 26103956 39155934 52207912 58733901 78311868 117467802 156623736 176201703 234935604 352403406 469871208 528605109 704806812 1057210218 1409613624 2114420436 4228840872