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2224307080 = 235597312911
BaseRepresentation
bin1000010010010100…
…0011101110001000
312202000102111200201
42010211003232020
514023410311310
61004414341544
7106056204202
oct20445035610
95660374621
102224307080
11a41621916
12520aba8b4
13295a92348
141715a7772
15d041de3a
hex84943b88

2224307080 has 64 divisors (see below), whose sum is σ = 5159635200. Its totient is φ = 862594560.

The previous prime is 2224307027. The next prime is 2224307093. The reversal of 2224307080 is 807034222.

It is a super-2 number, since 2×22243070802 = 9895083972276252800, which contains 22 as substring.

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, 165825 + ... + 178735.

It is an arithmetic number, because the mean of its divisors is an integer number (80619300).

Almost surely, 22224307080 is an apocalyptic number.

2224307080 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 2224307080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579817600).

2224307080 is an abundant number, since it is smaller than the sum of its proper divisors (2935328120).

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

2224307080 is a wasteful number, since it uses less digits than its factorization.

2224307080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13054 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2224307080 is about 47162.5601510351. The cubic root of 2224307080 is about 1305.3638499450.

The spelling of 2224307080 in words is "two billion, two hundred twenty-four million, three hundred seven thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 59 73 118 146 236 292 295 365 472 584 590 730 1180 1460 2360 2920 4307 8614 12911 17228 21535 25822 34456 43070 51644 64555 86140 103288 129110 172280 258220 516440 761749 942503 1523498 1885006 3046996 3770012 3808745 4712515 6093992 7540024 7617490 9425030 15234980 18850060 30469960 37700120 55607677 111215354 222430708 278038385 444861416 556076770 1112153540 2224307080