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10222350000 = 24355232963
BaseRepresentation
bin10011000010100110…
…01010111010110000
3222101102011011222120
421201103022322300
5131413410200000
64410204234240
7511214353452
oct114123127260
928342134876
1010222350000
114376282945
121b9353b980
13c6ba9b715
146cd8c22d2
153ec67e6a0
hex2614caeb0

10222350000 has 240 divisors, whose sum is σ = 34454294784. Its totient is φ = 2606560000.

The previous prime is 10222349993. The next prime is 10222350001. The reversal of 10222350000 is 5322201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10222350001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3448519 + ... + 3451481.

Almost surely, 210222350000 is an apocalyptic number.

10222350000 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 10222350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227147392).

10222350000 is an abundant number, since it is smaller than the sum of its proper divisors (24231944784).

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

10222350000 is an equidigital number, since it uses as much as digits as its factorization.

10222350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 10222350000 its reverse (5322201), we get a palindrome (10227672201).

The spelling of 10222350000 in words is "ten billion, two hundred twenty-two million, three hundred fifty thousand".