Search a number
-
+
2021445888 = 28371134183
BaseRepresentation
bin111100001111100…
…1101000100000000
312012212201002110020
41320133031010000
513114442232023
6532330333440
7101044002150
oct17037150400
95185632406
102021445888
11948065240
12484b8a280
13262a45937
1415267c760
15bc6ebde3
hex787cd100

2021445888 has 144 divisors (see below), whose sum is σ = 6707721216. Its totient is φ = 525035520.

The previous prime is 2021445887. The next prime is 2021445893. The reversal of 2021445888 is 8885441202.

It is a super-2 number, since 2×20214458882 = 8172486956224217088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2021445883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42045 + ... + 76227.

Almost surely, 22021445888 is an apocalyptic number.

2021445888 is a gapful number since it is divisible by the number (28) 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 2021445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353860608).

2021445888 is an abundant number, since it is smaller than the sum of its proper divisors (4686275328).

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

2021445888 is a wasteful number, since it uses less digits than its factorization.

2021445888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34220 (or 34206 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 2021445888 is about 44960.4925239927. The cubic root of 2021445888 is about 1264.4084029863.

The spelling of 2021445888 in words is "two billion, twenty-one million, four hundred forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 34183 59136 68366 102549 136732 205098 239281 273464 376013 410196 478562 546928 717843 752026 820392 957124 1093856 1128039 1435686 1504052 1640784 1914248 2187712 2256078 2632091 2871372 3008104 3281568 3828496 4375424 4512156 5264182 5742744 6016208 6563136 7656992 7896273 8750848 9024312 10528364 11485488 12032416 13126272 15313984 15792546 18048624 21056728 22970976 24064832 26252544 30627968 31585092 36097248 42113456 45941952 48129664 61255936 63170184 72194496 84226912 91883904 96259328 126340368 144388992 168453824 183767808 252680736 288777984 336907648 505361472 673815296 1010722944 2021445888