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2244221101320 = 23351117374196451
BaseRepresentation
bin100000101010000110000…
…000000110010100001000
321221112201121221020101220
4200222012000012110020
5243232131100220240
64434551514442040
7321065614420512
oct40520600062410
97845647836356
102244221101320
11795850339a10
12302b41133320
131338242bc293
147a8999a8bb2
153d59d7d55d0
hex20a86006508

2244221101320 has 512 divisors, whose sum is σ = 8007252019200. Its totient is φ = 496945152000.

The previous prime is 2244221101253. The next prime is 2244221101333. The reversal of 2244221101320 is 231011224422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347884095 + ... + 347890545.

It is an arithmetic number, because the mean of its divisors is an integer number (15639164100).

Almost surely, 22244221101320 is an apocalyptic number.

2244221101320 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 2244221101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003626009600).

2244221101320 is an abundant number, since it is smaller than the sum of its proper divisors (5763030917880).

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

2244221101320 is a wasteful number, since it uses less digits than its factorization.

2244221101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2244221101320 its reverse (231011224422), we get a palindrome (2475232325742).

The spelling of 2244221101320 in words is "two trillion, two hundred forty-four billion, two hundred twenty-one million, one hundred one thousand, three hundred twenty".