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10226226304 = 27721630457
BaseRepresentation
bin10011000011000011…
…11101010010000000
3222101200110010021101
421201201331102000
5131420403220204
64410423304144
7511262326600
oct114141752200
928350403241
1010226226304
1143784901a8
121b948ab054
13c6c827ba8
146d0210c00
153ecb97ea4
hex26187d480

10226226304 has 48 divisors (see below), whose sum is σ = 23698707030. Its totient is φ = 4382665728.

The previous prime is 10226226287. The next prime is 10226226319. The reversal of 10226226304 is 40362262201.

It can be written as a sum of positive squares in only one way, i.e., 6548046400 + 3678179904 = 80920^2 + 60648^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 808957 + ... + 821500.

Almost surely, 210226226304 is an apocalyptic number.

10226226304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10226226304 is an abundant number, since it is smaller than the sum of its proper divisors (13472480726).

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

10226226304 is an equidigital number, since it uses as much as digits as its factorization.

10226226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630485 (or 1630466 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10226226304 its reverse (40362262201), we get a palindrome (50588488505).

The spelling of 10226226304 in words is "ten billion, two hundred twenty-six million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 1630457 3260914 6521828 11413199 13043656 22826398 26087312 45652796 52174624 79892393 91305592 104349248 159784786 182611184 208698496 319569572 365222368 639139144 730444736 1278278288 1460889472 2556556576 5113113152 10226226304