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2425314220 = 2257791032129
BaseRepresentation
bin1001000010001111…
…0101101110101100
320021000122201122121
42100203311232230
514431340023340
61040354522324
7114046554640
oct22043655654
96230581577
102425314220
11103503251a
125782963a4
132c860cb94
1419016cc20
15e2dc694a
hex908f5bac

2425314220 has 96 divisors (see below), whose sum is σ = 5954457600. Its totient is φ = 812657664.

The previous prime is 2425314217. The next prime is 2425314277. The reversal of 2425314220 is 224135242.

2425314220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1138116 + ... + 1140244.

It is an arithmetic number, because the mean of its divisors is an integer number (62025600).

Almost surely, 22425314220 is an apocalyptic number.

2425314220 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 2425314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977228800).

2425314220 is an abundant number, since it is smaller than the sum of its proper divisors (3529143380).

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

2425314220 is a wasteful number, since it uses less digits than its factorization.

2425314220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2425314220 is about 49247.4793263574. The cubic root of 2425314220 is about 1343.5567166165.

Adding to 2425314220 its reverse (224135242), we get a palindrome (2649449462).

The spelling of 2425314220 in words is "two billion, four hundred twenty-five million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 103 140 158 206 316 395 412 515 553 721 790 1030 1106 1442 1580 2060 2129 2212 2765 2884 3605 4258 5530 7210 8137 8516 10645 11060 14420 14903 16274 21290 29806 32548 40685 42580 56959 59612 74515 81370 113918 149030 162740 168191 219287 227836 284795 298060 336382 438574 569590 672764 840955 877148 1096435 1139180 1177337 1535009 1681910 2192870 2354674 3070018 3363820 4385740 4709348 5886685 6140036 7675045 11773370 15350090 17323673 23546740 30700180 34647346 69294692 86618365 121265711 173236730 242531422 346473460 485062844 606328555 1212657110 2425314220