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10498222080 = 2113554219
BaseRepresentation
bin10011100011011111…
…00010100000000000
31000002122020221100000
421301233202200000
5133000021101310
64453421200000
7521104262313
oct116157424000
930078227300
1010498222080
1144a7a776a5
12204ba00000
13cb3c9c238
147183b497a
154169c44c0
hex271be2800

10498222080 has 288 divisors, whose sum is σ = 37741485600. Its totient is φ = 2798862336.

The previous prime is 10498222043. The next prime is 10498222081. The reversal of 10498222080 is 8022289401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104982220802 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10498222081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2486211 + ... + 2490429.

It is an arithmetic number, because the mean of its divisors is an integer number (131046825).

Almost surely, 210498222080 is an apocalyptic number.

10498222080 is a gapful number since it is divisible by the number (10) 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 10498222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870742800).

10498222080 is an abundant number, since it is smaller than the sum of its proper divisors (27243263520).

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

10498222080 is an frugal number, since it uses more digits than its factorization.

10498222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10498222080 in words is "ten billion, four hundred ninety-eight million, two hundred twenty-two thousand, eighty".