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2244055444320 = 253519701351011
BaseRepresentation
bin100000101001111100001…
…000001010101101100000
321221112022002012222201110
4200221330020022231200
5243231311143204240
64434523240103320
7321061533360504
oct40517410125540
97845262188643
102244055444320
117957758833a8
12302ab5764b40
131337c8b9a9a1
147a8819a6304
153d58deb1c80
hex20a7c20ab60

2244055444320 has 192 divisors, whose sum is σ = 7451451221760. Its totient is φ = 566108928000.

The previous prime is 2244055444289. The next prime is 2244055444349. The reversal of 2244055444320 is 234445504422.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217615 + ... + 6568625.

It is an arithmetic number, because the mean of its divisors is an integer number (38809641780).

Almost surely, 22244055444320 is an apocalyptic number.

2244055444320 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 2244055444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725725610880).

2244055444320 is an abundant number, since it is smaller than the sum of its proper divisors (5207395777440).

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

2244055444320 is a wasteful number, since it uses less digits than its factorization.

2244055444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351749 (or 351741 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 39.

The spelling of 2244055444320 in words is "two trillion, two hundred forty-four billion, fifty-five million, four hundred forty-four thousand, three hundred twenty".