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2204125440000 = 2113541152181
BaseRepresentation
bin100000000100110000000…
…111010010100000000000
321210201020021212121020120
4200010300013102200000
5242103022103040000
64404321121340240
7315146166054651
oct40046007224000
97721207777216
102204125440000
1177a845393130
122b7211197680
1312cb04484cb3
1478974819528
153c5037046a0
hex201301d2800

2204125440000 has 480 divisors, whose sum is σ = 8010634151520. Its totient is φ = 534323200000.

The previous prime is 2204125439963. The next prime is 2204125440031. The reversal of 2204125440000 is 445214022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42213910 + ... + 42266090.

It is an arithmetic number, because the mean of its divisors is an integer number (16688821149).

Almost surely, 22204125440000 is an apocalyptic number.

2204125440000 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 2204125440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005317075760).

2204125440000 is an abundant number, since it is smaller than the sum of its proper divisors (5806508711520).

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

2204125440000 is an equidigital number, since it uses as much as digits as its factorization.

2204125440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52237 (or 52202 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 2204125440000 in words is "two trillion, two hundred four billion, one hundred twenty-five million, four hundred forty thousand".