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2224467420 = 2235725121101
BaseRepresentation
bin1000010010010110…
…1010110111011100
312202000201122122020
42010211222313130
514023430424140
61004422020140
7106060442520
oct20445526734
95660648566
102224467420
11a4172132a
12520b77650
13295b1a316
14171609d80
15d04516d0
hex8496addc

2224467420 has 96 divisors (see below), whose sum is σ = 7146994176. Its totient is φ = 506400000.

The previous prime is 2224467409. The next prime is 2224467431. The reversal of 2224467420 is 247644222.

2224467420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2224467409) and next prime (2224467431).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94870 + ... + 115970.

It is an arithmetic number, because the mean of its divisors is an integer number (74447856).

Almost surely, 22224467420 is an apocalyptic number.

2224467420 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 2224467420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573497088).

2224467420 is an abundant number, since it is smaller than the sum of its proper divisors (4922526756).

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

2224467420 is a wasteful number, since it uses less digits than its factorization.

2224467420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21371 (or 21369 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 2224467420 is about 47164.2599857138. The cubic root of 2224467420 is about 1305.3952150702.

The spelling of 2224467420 in words is "two billion, two hundred twenty-four million, four hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 1004 1255 1506 1757 2510 3012 3514 3765 5020 5271 7028 7530 8785 10542 15060 17570 21084 21101 26355 35140 42202 52710 63303 84404 105420 105505 126606 147707 211010 253212 295414 316515 422020 443121 590828 633030 738535 886242 1266060 1477070 1772484 2215605 2954140 4431210 5296351 8862420 10592702 15889053 21185404 26481755 31778106 37074457 52963510 63556212 74148914 79445265 105927020 111223371 148297828 158890530 185372285 222446742 317781060 370744570 444893484 556116855 741489140 1112233710 2224467420