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1226226852 = 223241830777
BaseRepresentation
bin100100100010110…
…1011110010100100
310011110100210000100
41021011223302210
510002403224402
6321402144100
742246520254
oct11105536244
93143323010
101226226852
1157a19a424
122a27b2030
13167077c26
14b8bd9964
15729bb71c
hex4916bca4

1226226852 has 36 divisors (see below), whose sum is σ = 3175233516. Its totient is φ = 398772480.

The previous prime is 1226226821. The next prime is 1226226887. The reversal of 1226226852 is 2586226221.

1226226852 is a `hidden beast` number, since 1 + 22 + 622 + 6 + 8 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205807716 + 1020419136 = 14346^2 + 31944^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 413913 + ... + 416864.

It is an arithmetic number, because the mean of its divisors is an integer number (88200931).

Almost surely, 21226226852 is an apocalyptic number.

1226226852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1226226852 is an abundant number, since it is smaller than the sum of its proper divisors (1949006664).

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

1226226852 is a wasteful number, since it uses less digits than its factorization.

1226226852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830828 (or 830823 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1226226852 is about 35017.5220711003. The cubic root of 1226226852 is about 1070.3445630931.

The spelling of 1226226852 in words is "one billion, two hundred twenty-six million, two hundred twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 830777 1661554 2492331 3323108 4984662 7476993 9969324 14953986 29907972 34061857 68123714 102185571 136247428 204371142 306556713 408742284 613113426 1226226852