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2284212021 = 371317577853
BaseRepresentation
bin1000100000100110…
…0100111100110101
312220012010222211020
42020021210330311
514134224241041
61014354331353
7110414324160
oct21011447465
95805128736
102284212021
11a72418333
12538b89b59
132a5307c60
1417951cad7
15d5803866
hex88264f35

2284212021 has 64 divisors (see below), whose sum is σ = 3980487168. Its totient is φ = 1130692608.

The previous prime is 2284212013. The next prime is 2284212059. The reversal of 2284212021 is 1202124822.

It is not a de Polignac number, because 2284212021 - 23 = 2284212013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2284211982 and 2284212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284212001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2677431 + ... + 2678283.

It is an arithmetic number, because the mean of its divisors is an integer number (62195112).

Almost surely, 22284212021 is an apocalyptic number.

2284212021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2284212021 is a deficient number, since it is larger than the sum of its proper divisors (1696275147).

2284212021 is a wasteful number, since it uses less digits than its factorization.

2284212021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470.

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

The square root of 2284212021 is about 47793.4307305931. The cubic root of 2284212021 is about 1316.9788614465.

Adding to 2284212021 its reverse (1202124822), we get a palindrome (3486336843).

The spelling of 2284212021 in words is "two billion, two hundred eighty-four million, two hundred twelve thousand, twenty-one".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 577 663 853 1547 1731 2559 4039 4641 5971 7501 9809 11089 12117 14501 17913 22503 29427 33267 43503 52507 68663 77623 101507 127517 157521 188513 205989 232869 304521 382551 492181 565539 892619 1319591 1476543 2677857 3445267 3958773 6398353 8367077 10335801 19195059 25101231 44788471 58569539 108772001 134365413 175708617 326316003 761404007 2284212021