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1226094480 = 2432513294517
BaseRepresentation
bin100100100010100…
…1011011110010000
310011110010001102200
41021011023132100
510002340010410
6321355243200
742245426322
oct11105133620
93143101380
101226094480
1157a109a26
122a2749500
1316702c8c0
14b8ba3612
15729923c0
hex4914b790

1226094480 has 240 divisors, whose sum is σ = 4588300080. Its totient is φ = 291336192.

The previous prime is 1226094479. The next prime is 1226094533. The reversal of 1226094480 is 844906221.

1226094480 is a `hidden beast` number, since 1 + 2 + 2 + 609 + 4 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 408363264 + 817731216 = 20208^2 + 28596^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269182 + ... + 273698.

It is an arithmetic number, because the mean of its divisors is an integer number (19117917).

Almost surely, 21226094480 is an apocalyptic number.

1226094480 is a gapful number since it is divisible by the number (10) 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 1226094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294150040).

1226094480 is an abundant number, since it is smaller than the sum of its proper divisors (3362205600).

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

1226094480 is a wasteful number, since it uses less digits than its factorization.

1226094480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1226094480 is about 35015.6319377503. The cubic root of 1226094480 is about 1070.3060469059.

The spelling of 1226094480 in words is "one billion, two hundred twenty-six million, ninety-four thousand, four hundred eighty".