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2182202421 = 371934915671
BaseRepresentation
bin1000001000010001…
…1100010000110101
312122002012100221220
42002010130100311
513432120434141
61000312100553
7105035262120
oct20204342065
95562170856
102182202421
11a1a883a83
1250a994759
1328a13c849
14169b673b7
15cb8a3766
hex8211c435

2182202421 has 32 divisors (see below), whose sum is σ = 3510528000. Its totient is φ = 1177882560.

The previous prime is 2182202417. The next prime is 2182202423. The reversal of 2182202421 is 1242022812.

It is not a de Polignac number, because 2182202421 - 22 = 2182202417 is a prime.

It is a super-2 number, since 2×21822024212 = 9524014812436522482, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2182202391 and 2182202400.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131416 + ... + 147086.

It is an arithmetic number, because the mean of its divisors is an integer number (109704000).

Almost surely, 22182202421 is an apocalyptic number.

2182202421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2182202421 is a deficient number, since it is larger than the sum of its proper divisors (1328325579).

2182202421 is a wasteful number, since it uses less digits than its factorization.

2182202421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2182202421 is about 46714.0495033346. The cubic root of 2182202421 is about 1297.0747680080.

The spelling of 2182202421 in words is "two billion, one hundred eighty-two million, two hundred two thousand, four hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 349 399 1047 2443 6631 7329 15671 19893 46417 47013 109697 139251 297749 329091 893247 2084243 5469179 6252729 16407537 38284253 103914401 114852759 311743203 727400807 2182202421