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2022230304 = 253217939227
BaseRepresentation
bin111100010001000…
…1100100100100000
312012221011221110200
41320202030210200
513120142332204
6532355225200
7101053450113
oct17042144440
95187157420
102022230304
11948550616
124852a8200
13262c5b9a3
1415280457a
15bc804539
hex7888c920

2022230304 has 72 divisors (see below), whose sum is σ = 5782991760. Its totient is φ = 670293888.

The previous prime is 2022230297. The next prime is 2022230411. The reversal of 2022230304 is 4030322202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31939 + ... + 71165.

It is an arithmetic number, because the mean of its divisors is an integer number (80319330).

Almost surely, 22022230304 is an apocalyptic number.

2022230304 is a gapful number since it is divisible by the number (24) 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 2022230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891495880).

2022230304 is an abundant number, since it is smaller than the sum of its proper divisors (3760761456).

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

2022230304 is a wasteful number, since it uses less digits than its factorization.

2022230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 39411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2022230304 is about 44969.2150698675. The cubic root of 2022230304 is about 1264.5719317958.

Adding to 2022230304 its reverse (4030322202), we get a palindrome (6052552506).

The spelling of 2022230304 in words is "two billion, twenty-two million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 39227 51552 78454 117681 156908 235362 313816 353043 470724 627632 706086 941448 1255264 1412172 1882896 2824344 3765792 5648688 7021633 11297376 14043266 21064899 28086532 42129798 56173064 63194697 84259596 112346128 126389394 168519192 224692256 252778788 337038384 505557576 674076768 1011115152 2022230304