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4224044020 = 2257231713597
BaseRepresentation
bin1111101111000101…
…1100101111110100
3101220101021200001211
43323301130233310
532122323402040
61535051531204
7206450532100
oct37361345764
911811250054
104224044020
1118783a9879
1299a759b04
13524176a41
142c0dd4900
1519ac7d8ea
hexfbc5cbf4

4224044020 has 72 divisors (see below), whose sum is σ = 10352048616. Its totient is φ = 1443568896.

The previous prime is 4224044017. The next prime is 4224044087. The reversal of 4224044020 is 204404224.

It can be written as a sum of positive squares in 4 ways, for example, as 153859216 + 4070184804 = 12404^2 + 63798^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4224043982 and 4224044000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303862 + ... + 317458.

It is an arithmetic number, because the mean of its divisors is an integer number (143778453).

Almost surely, 24224044020 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 4224044020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176024308).

4224044020 is an abundant number, since it is smaller than the sum of its proper divisors (6128004596).

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

4224044020 is a wasteful number, since it uses less digits than its factorization.

4224044020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13937 (or 13928 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4224044020 is about 64992.6458916699. The cubic root of 4224044020 is about 1616.5016236140.

Adding to 4224044020 its reverse (204404224), we get a palindrome (4428448244).

The spelling of 4224044020 in words is "four billion, two hundred twenty-four million, forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 317 490 634 980 1268 1585 2219 3170 4438 6340 8876 11095 13597 15533 22190 27194 31066 44380 54388 62132 67985 77665 95179 135970 155330 190358 271940 310660 380716 475895 666253 951790 1332506 1903580 2665012 3331265 4310249 6662530 8620498 13325060 17240996 21551245 30171743 43102490 60343486 86204980 120686972 150858715 211202201 301717430 422404402 603434860 844808804 1056011005 2112022010 4224044020