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2228304384 = 2933359449
BaseRepresentation
bin1000010011010001…
…0011101000000000
312202021221120222000
42010310103220000
514030421220014
61005040144000
7106135163145
oct20464235000
95667846860
102228304384
11a43902079
12522308000
13296861907
14171d283cc
15d095d509
hex84d13a00

2228304384 has 160 divisors (see below), whose sum is σ = 6629040000. Its totient is φ = 739049472.

The previous prime is 2228304373. The next prime is 2228304437. The reversal of 2228304384 is 4834038222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4962592 + ... + 4963040.

It is an arithmetic number, because the mean of its divisors is an integer number (41431500).

Almost surely, 22228304384 is an apocalyptic number.

2228304384 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 2228304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314520000).

2228304384 is an abundant number, since it is smaller than the sum of its proper divisors (4400735616).

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

2228304384 is an equidigital number, since it uses as much as digits as its factorization.

2228304384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2228304384 is about 47204.9190657075. The cubic root of 2228304384 is about 1306.1453387936.

The spelling of 2228304384 in words is "two billion, two hundred twenty-eight million, three hundred four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 359 384 432 449 512 576 718 768 864 898 1077 1152 1347 1436 1536 1728 1796 2154 2304 2694 2872 3231 3456 3592 4041 4308 4608 5388 5744 6462 6912 7184 8082 8616 9693 10776 11488 12123 12924 13824 14368 16164 17232 19386 21552 22976 24246 25848 28736 32328 34464 38772 43104 45952 48492 51696 57472 64656 68928 77544 86208 91904 96984 103392 114944 129312 137856 155088 161191 172416 183808 193968 206784 229888 258624 275712 310176 322382 344832 387936 413568 483573 517248 551424 620352 644764 689664 775872 827136 967146 1034496 1240704 1289528 1450719 1551744 1654272 1934292 2068992 2481408 2579056 2901438 3103488 3868584 4352157 4962816 5158112 5802876 6206976 7737168 8704314 10316224 11605752 15474336 17408628 20632448 23211504 30948672 34817256 41264896 46423008 61897344 69634512 82529792 92846016 123794688 139269024 185692032 247589376 278538048 371384064 557076096 742768128 1114152192 2228304384