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2203022304 = 253272115179
BaseRepresentation
bin1000001101001111…
…0111001111100000
312200112101010110200
42003103313033200
514002433203204
61002334225200
7105410244360
oct20323671740
95615333420
102203022304
11a3060429a
12515955200
1329154c1c2
1416c8269a0
15cd617539
hex834f73e0

2203022304 has 144 divisors (see below), whose sum is σ = 7195144320. Its totient is φ = 626330880.

The previous prime is 2203022281. The next prime is 2203022321. The reversal of 2203022304 is 4032203022.

2203022304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422787 + ... + 427965.

It is an arithmetic number, because the mean of its divisors is an integer number (49966280).

Almost surely, 22203022304 is an apocalyptic number.

2203022304 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 2203022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597572160).

2203022304 is an abundant number, since it is smaller than the sum of its proper divisors (4992122016).

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

2203022304 is a wasteful number, since it uses less digits than its factorization.

2203022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5402 counting only the distinct ones).

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

The square root of 2203022304 is about 46936.3644096984. The cubic root of 2203022304 is about 1301.1867474728.

Adding to 2203022304 its reverse (4032203022), we get a palindrome (6235225326).

The spelling of 2203022304 in words is "two billion, two hundred three million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 211 224 252 288 336 422 504 633 672 844 1008 1266 1477 1688 1899 2016 2532 2954 3376 3798 4431 5064 5179 5908 6752 7596 8862 10128 10358 11816 13293 15192 15537 17724 20256 20716 23632 26586 30384 31074 35448 36253 41432 46611 47264 53172 60768 62148 70896 72506 82864 93222 106344 108759 124296 141792 145012 165728 186444 212688 217518 248592 290024 326277 372888 425376 435036 497184 580048 652554 745776 870072 1092769 1160096 1305108 1491552 1740144 2185538 2610216 3278307 3480288 4371076 5220432 6556614 7649383 8742152 9834921 10440864 13113228 15298766 17484304 19669842 22948149 26226456 30597532 34968608 39339684 45896298 52452912 61195064 68844447 78679368 91792596 104905824 122390128 137688894 157358736 183585192 244780256 275377788 314717472 367170384 550755576 734340768 1101511152 2203022304