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10222002000 = 2432537312617
BaseRepresentation
bin10011000010100011…
…10101111101010000
3222101101111111121200
421201101311331100
5131413313031000
64410152551200
7511211404050
oct114121657520
928341444550
1010222002000
114376065441
121b933b2500
13c6b9a91c2
146cd831560
153ec611500
hex261475f50

10222002000 has 480 divisors, whose sum is σ = 42134636544. Its totient is φ = 2260224000.

The previous prime is 10222001953. The next prime is 10222002017. The reversal of 10222002000 is 20022201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3904692 + ... + 3907308.

Almost surely, 210222002000 is an apocalyptic number.

10222002000 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 10222002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067318272).

10222002000 is an abundant number, since it is smaller than the sum of its proper divisors (31912634544).

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

10222002000 is a wasteful number, since it uses less digits than its factorization.

10222002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 10222002000 its reverse (20022201), we get a palindrome (10242024201).

The spelling of 10222002000 in words is "ten billion, two hundred twenty-two million, two thousand".