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10222314010440 = 2335797206960637
BaseRepresentation
bin1001010011000001000101…
…1001010011011101001000
31100012020120122021010010220
42110300101121103131020
52314440244341313230
633424022145510040
72103352320301320
oct224602131233510
940166518233126
1010222314010440
113291293844564
1211911a0342320
13591c6339156c
14274a96970280
1512ad8c370d10
hex94c11653748

10222314010440 has 256 divisors, whose sum is σ = 35426951078400. Its totient is φ = 2311285211136.

The previous prime is 10222314010427. The next prime is 10222314010457. The reversal of 10222314010440 is 4401041322201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10222314010440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168551802 + ... + 168612438.

It is an arithmetic number, because the mean of its divisors is an integer number (138386527650).

Almost surely, 210222314010440 is an apocalyptic number.

10222314010440 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 10222314010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713475539200).

10222314010440 is an abundant number, since it is smaller than the sum of its proper divisors (25204637067960).

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

10222314010440 is a wasteful number, since it uses less digits than its factorization.

10222314010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62824 (or 62820 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10222314010440 its reverse (4401041322201), we get a palindrome (14623355332641).

The spelling of 10222314010440 in words is "ten trillion, two hundred twenty-two billion, three hundred fourteen million, ten thousand, four hundred forty".