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10222057440 = 25355723271
BaseRepresentation
bin10011000010100100…
…00011011111100000
3222101101121022200000
421201102003133200
5131413321314230
64410154100000
7511212024510
oct114122033740
928341538600
1010222057440
1143760a3061
121b9341a600
13c6b9c84ca
146cd847840
153ec622b60
hex2614837e0

10222057440 has 864 divisors, whose sum is σ = 43826904576. Its totient is φ = 2203407360.

The previous prime is 10222057427. The next prime is 10222057453. The reversal of 10222057440 is 4475022201.

10222057440 is a `hidden beast` number, since 10 + 2 + 2 + 205 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10222057427) and next prime (10222057453).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143972605 + ... + 143972675.

It is an arithmetic number, because the mean of its divisors is an integer number (50725584).

Almost surely, 210222057440 is an apocalyptic number.

10222057440 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 10222057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21913452288).

10222057440 is an abundant number, since it is smaller than the sum of its proper divisors (33604847136).

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

10222057440 is an equidigital number, since it uses as much as digits as its factorization.

10222057440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 10222057440 its reverse (4475022201), we get a palindrome (14697079641).

The spelling of 10222057440 in words is "ten billion, two hundred twenty-two million, fifty-seven thousand, four hundred forty".