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2199081222000 = 2432531315496067
BaseRepresentation
bin100000000000000011011…
…101000111111101110000
321210020012202021202222200
4200000003131013331300
5242012204243101000
64402124410303200
7314610165654015
oct40000335077560
97706182252880
102199081222000
11778697024523
122b6243a27b00
1312c4ac413a10
147861692770c
153c30a966500
hex20003747f70

2199081222000 has 480 divisors, whose sum is σ = 8278181620800. Its totient is φ = 540873676800.

The previous prime is 2199081221969. The next prime is 2199081222007. The reversal of 2199081222000 is 2221809912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199081222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362462967 + ... + 362469033.

It is an arithmetic number, because the mean of its divisors is an integer number (17246211710).

Almost surely, 22199081222000 is an apocalyptic number.

2199081222000 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 2199081222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139090810400).

2199081222000 is an abundant number, since it is smaller than the sum of its proper divisors (6079100398800).

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

2199081222000 is a wasteful number, since it uses less digits than its factorization.

2199081222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2199081222000 in words is "two trillion, one hundred ninety-nine billion, eighty-one million, two hundred twenty-two thousand".