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2224424020 = 2257137871553
BaseRepresentation
bin1000010010010110…
…0000010001010100
312202000122110002211
42010211200101110
514023423032040
61004421043204
7106060202140
oct20445402124
95660573084
102224424020
11a416a1765
12520b56504
13295b03640
141715d8220
15d04438ea
hex84960454

2224424020 has 96 divisors (see below), whose sum is σ = 5760292608. Its totient is φ = 702646272.

The previous prime is 2224424017. The next prime is 2224424023. The reversal of 2224424020 is 204244222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2224424017) and next prime (2224424023).

It is a junction number, because it is equal to n+sod(n) for n = 2224423982 and 2224424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224424023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1431564 + ... + 1433116.

It is an arithmetic number, because the mean of its divisors is an integer number (60003048).

Almost surely, 22224424020 is an apocalyptic number.

2224424020 is a gapful number since it is divisible by the number (20) 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 2224424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880146304).

2224424020 is an abundant number, since it is smaller than the sum of its proper divisors (3535868588).

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

2224424020 is a wasteful number, since it uses less digits than its factorization.

2224424020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2367 counting only the distinct ones).

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

The square root of 2224424020 is about 47163.7998893219. The cubic root of 2224424020 is about 1305.3867254695.

Adding to 2224424020 its reverse (204244222), we get a palindrome (2428668242).

It can be divided in two parts, 22244 and 24020, that added together give a palindrome (46264).

The spelling of 2224424020 in words is "two billion, two hundred twenty-four million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 787 910 1553 1574 1820 3106 3148 3935 5509 6212 7765 7870 10231 10871 11018 15530 15740 20189 20462 21742 22036 27545 31060 40378 40924 43484 51155 54355 55090 71617 80756 100945 102310 108710 110180 141323 143234 201890 204620 217420 282646 286468 358085 403780 565292 706615 716170 1222211 1413230 1432340 2444422 2826460 4888844 6111055 8555477 12222110 15888743 17110954 24444220 31777486 34221908 42777385 63554972 79443715 85554770 111221201 158887430 171109540 222442402 317774860 444884804 556106005 1112212010 2224424020