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2001222000 = 243253731523
BaseRepresentation
bin111011101001000…
…0011100101110000
312011110122121111100
41313102003211300
513044303101000
6530325044400
7100410051321
oct16722034560
95143577440
102001222000
11937701788
1247a256700
1325b7b463b
1414dad6448
15baa54a00
hex77483970

2001222000 has 240 divisors, whose sum is σ = 7090001568. Its totient is φ = 526003200.

The previous prime is 2001221983. The next prime is 2001222001. The reversal of 2001222000 is 2221002.

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001222001) 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, 1313239 + ... + 1314761.

Almost surely, 22001222000 is an apocalyptic number.

2001222000 is a gapful number since it is divisible by the number (20) 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 2001222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545000784).

2001222000 is an abundant number, since it is smaller than the sum of its proper divisors (5088779568).

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

2001222000 is a wasteful number, since it uses less digits than its factorization.

2001222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1606 counting only the distinct ones).

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

The square root of 2001222000 is about 44735.0198390478. The cubic root of 2001222000 is about 1260.1776015714.

Adding to 2001222000 its reverse (2221002), we get a palindrome (2003443002).

The spelling of 2001222000 in words is "two billion, one million, two hundred twenty-two thousand".