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2182202420 = 225257457929
BaseRepresentation
bin1000001000010001…
…1100010000110100
312122002012100221212
42002010130100310
513432120434140
61000312100552
7105035262116
oct20204342064
95562170855
102182202420
11a1a883a82
1250a994758
1328a13c848
14169b673b6
15cb8a3765
hex8211c434

2182202420 has 48 divisors (see below), whose sum is σ = 4615485840. Its totient is φ = 866648064.

The previous prime is 2182202417. The next prime is 2182202423. The reversal of 2182202420 is 242022812.

It is an interprime number because it is at equal distance from previous prime (2182202417) and next prime (2182202423).

It can be written as a sum of positive squares in 8 ways, for example, as 42954916 + 2139247504 = 6554^2 + 46252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182202423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2348516 + ... + 2349444.

It is an arithmetic number, because the mean of its divisors is an integer number (96155955).

Almost surely, 22182202420 is an apocalyptic number.

2182202420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2182202420 is an abundant number, since it is smaller than the sum of its proper divisors (2433283420).

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

2182202420 is a wasteful number, since it uses less digits than its factorization.

2182202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 2182202420 is about 46714.0494926312. The cubic root of 2182202420 is about 1297.0747678099.

The spelling of 2182202420 in words is "two billion, one hundred eighty-two million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 257 457 514 914 929 1028 1285 1828 1858 2285 2570 3716 4570 4645 5140 9140 9290 18580 117449 234898 238753 424553 469796 477506 587245 849106 955012 1174490 1193765 1698212 2122765 2348980 2387530 4245530 4775060 8491060 109110121 218220242 436440484 545550605 1091101210 2182202420