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10022231340 = 2232511171915671
BaseRepresentation
bin10010101010101111…
…10001110100101100
3221212110121002210100
421111113301310230
5131011142400330
64334255111100
7503234363232
oct112527616454
927773532710
1010022231340
114283319820
121b38512490
13c394a2404
146b10ac952
153d9d00060
hex2555f1d2c

10022231340 has 288 divisors, whose sum is σ = 36965859840. Its totient is φ = 2166220800.

The previous prime is 10022231339. The next prime is 10022231341. The reversal of 10022231340 is 4313222001.

10022231340 is a `hidden beast` number, since 100 + 2 + 223 + 1 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (10022231339) and next prime (10022231341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10022231341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 631705 + ... + 647375.

It is an arithmetic number, because the mean of its divisors is an integer number (128353680).

Almost surely, 210022231340 is an apocalyptic number.

10022231340 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 10022231340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18482929920).

10022231340 is an abundant number, since it is smaller than the sum of its proper divisors (26943628500).

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

10022231340 is a wasteful number, since it uses less digits than its factorization.

10022231340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15733 (or 15728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022231340 its reverse (4313222001), we get a palindrome (14335453341).

The spelling of 10022231340 in words is "ten billion, twenty-two million, two hundred thirty-one thousand, three hundred forty".