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10221068288 = 21311172
BaseRepresentation
bin10011000010011100…
…10010000000000000
3222101022202001210202
421201032102000000
5131413043141123
64410120544332
7511200434624
oct114116220000
928338661722
1010221068288
114375587982
121b930220a8
13c6b740202
146cd66b184
153ec4c9a28
hex261392000

10221068288 has 42 divisors (see below), whose sum is σ = 20459205081. Its totient is φ = 5105958912.

The previous prime is 10221068281. The next prime is 10221068329. The reversal of 10221068288 is 88286012201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7212765184 + 3008303104 = 84928^2 + 54848^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71488.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221068281) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9149906 + ... + 9151022.

Almost surely, 210221068288 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 10221068288

10221068288 is an abundant number, since it is smaller than the sum of its proper divisors (10238136793).

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

10221068288 is an frugal number, since it uses more digits than its factorization.

10221068288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The spelling of 10221068288 in words is "ten billion, two hundred twenty-one million, sixty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1117 2048 2234 4096 4468 8192 8936 17872 35744 71488 142976 285952 571904 1143808 1247689 2287616 2495378 4575232 4990756 9150464 9981512 19963024 39926048 79852096 159704192 319408384 638816768 1277633536 2555267072 5110534144 10221068288