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2021274224 = 242367731123
BaseRepresentation
bin111100001111010…
…0011001001110000
312012212101100222022
41320132203021300
513114421233344
6532322531012
7101042355524
oct17036431160
95185340868
102021274224
11947a58272
12484b06a68
132629b5768
14152635d84
15bc6b60ee
hex787a3270

2021274224 has 80 divisors (see below), whose sum is σ = 4208040192. Its totient is φ = 938386944.

The previous prime is 2021274217. The next prime is 2021274257. The reversal of 2021274224 is 4224721202.

It is a junction number, because it is equal to n+sod(n) for n = 2021274193 and 2021274202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1799327 + ... + 1800449.

Almost surely, 22021274224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021274224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104020096).

2021274224 is an abundant number, since it is smaller than the sum of its proper divisors (2186765968).

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

2021274224 is a wasteful number, since it uses less digits than its factorization.

2021274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 2021274224 is about 44958.5834296411. The cubic root of 2021274224 is about 1264.3726101989.

Adding to 2021274224 its reverse (4224721202), we get a palindrome (6245995426).

The spelling of 2021274224 in words is "two billion, twenty-one million, two hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 67 73 92 134 146 184 268 292 368 536 584 1072 1123 1168 1541 1679 2246 3082 3358 4492 4891 6164 6716 8984 9782 12328 13432 17968 19564 24656 25829 26864 39128 51658 75241 78256 81979 103316 112493 150482 163958 206632 224986 300964 327916 413264 449972 601928 655832 899944 1203856 1311664 1730543 1799888 1885517 3461086 3771034 5492593 6922172 7542068 10985186 13844344 15084136 21970372 27688688 30168272 43940744 87881488 126329639 252659278 505318556 1010637112 2021274224