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10222355000 = 2354111317292
BaseRepresentation
bin10011000010100110…
…01100001000111000
3222101102011102211202
421201103030020320
5131413410330000
64410204313332
7511214404154
oct114123141070
928342142752
1010222355000
114376286680
121b93542848
13c6baa0a90
146cd8c4064
153ec680dd5
hex2614cc238

10222355000 has 480 divisors, whose sum is σ = 30856185360. Its totient is φ = 3118080000.

The previous prime is 10222354981. The next prime is 10222355009. The reversal of 10222355000 is 55322201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222355009) 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 119 ways as a sum of consecutive naturals, for example, 352494986 + ... + 352495014.

Almost surely, 210222355000 is an apocalyptic number.

10222355000 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 10222355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428092680).

10222355000 is an abundant number, since it is smaller than the sum of its proper divisors (20633830360).

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

10222355000 is a wasteful number, since it uses less digits than its factorization.

10222355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 10222355000 its reverse (55322201), we get a palindrome (10277677201).

The spelling of 10222355000 in words is "ten billion, two hundred twenty-two million, three hundred fifty-five thousand".