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3204221088 = 253592831999
BaseRepresentation
bin1011111011111100…
…1000100010100000
322021022022022000010
42332333020202200
523030240033323
61245541324520
7142255300305
oct27677104240
98238268003
103204221088
1113a4776802
12755106740
133c0ab8c13
142257a70ac
1513b483c93
hexbefc88a0

3204221088 has 96 divisors (see below), whose sum is σ = 8588160000. Its totient is φ = 1045737216.

The previous prime is 3204221077. The next prime is 3204221089. The reversal of 3204221088 is 8801224023.

3204221088 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 (96).

It is not an unprimeable number, because it can be changed into a prime (3204221089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1601913 + ... + 1603911.

It is an arithmetic number, because the mean of its divisors is an integer number (89460000).

Almost surely, 23204221088 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 3204221088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080000).

3204221088 is an abundant number, since it is smaller than the sum of its proper divisors (5383938912).

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

3204221088 is a wasteful number, since it uses less digits than its factorization.

3204221088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 3204221088 is about 56605.8396987449. The cubic root of 3204221088 is about 1474.2602573145.

The spelling of 3204221088 in words is "three billion, two hundred four million, two hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 283 354 472 566 708 849 944 1132 1416 1698 1888 1999 2264 2832 3396 3998 4528 5664 5997 6792 7996 9056 11994 13584 15992 16697 23988 27168 31984 33394 47976 50091 63968 66788 95952 100182 117941 133576 191904 200364 235882 267152 353823 400728 471764 534304 565717 707646 801456 943528 1131434 1415292 1602912 1697151 1887056 2262868 2830584 3394302 3774112 4525736 5661168 6788604 9051472 11322336 13577208 18102944 27154416 33377303 54308832 66754606 100131909 133509212 200263818 267018424 400527636 534036848 801055272 1068073696 1602110544 3204221088