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10220441088 = 2931113193179
BaseRepresentation
bin10011000010010111…
…11000111000000000
3222101021120012110010
421201023320320000
5131412413103323
64410055304520
7511162213224
oct114113707000
928337505403
1010220441088
114375199730
121b9297b140
13c6b5808a0
146cd546784
153ec403c93
hex2612f8e00

10220441088 has 640 divisors, whose sum is σ = 35197747200. Its totient is φ = 2587852800.

The previous prime is 10220441081. The next prime is 10220441117. The reversal of 10220441088 is 88014402201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220441081) 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 63 ways as a sum of consecutive naturals, for example, 129372633 + ... + 129372711.

It is an arithmetic number, because the mean of its divisors is an integer number (54996480).

Almost surely, 210220441088 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 10220441088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17598873600).

10220441088 is an abundant number, since it is smaller than the sum of its proper divisors (24977306112).

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

10220441088 is a wasteful number, since it uses less digits than its factorization.

10220441088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 10220441088 its reverse (88014402201), we get a palindrome (98234843289).

The spelling of 10220441088 in words is "ten billion, two hundred twenty million, four hundred forty-one thousand, eighty-eight".