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2226059401104 = 2432721185333623
BaseRepresentation
bin100000011001001011011…
…110101101011110010000
321212210211220111021101100
4200121023132231132100
5242432432201313404
64422345414304400
7316553553465300
oct40311336553620
97783756437340
102226059401104
11789080553810
122bb512958100
13131bbb7243c6
1479a558c9600
153cd8913ad39
hex2064b7ad790

2226059401104 has 360 divisors, whose sum is σ = 7915318512192. Its totient is φ = 577502231040.

The previous prime is 2226059401099. The next prime is 2226059401177. The reversal of 2226059401104 is 4011049506222.

It is a happy number.

2226059401104 is a `hidden beast` number, since 2 + 2 + 2 + 60 + 594 + 0 + 1 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66189637 + ... + 66223259.

Almost surely, 22226059401104 is an apocalyptic number.

2226059401104 is a gapful number since it is divisible by the number (24) 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 2226059401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957659256096).

2226059401104 is an abundant number, since it is smaller than the sum of its proper divisors (5689259111088).

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

2226059401104 is a wasteful number, since it uses less digits than its factorization.

2226059401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34515 (or 34499 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2226059401104 in words is "two trillion, two hundred twenty-six billion, fifty-nine million, four hundred one thousand, one hundred four".