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1226050560 = 21033572181
BaseRepresentation
bin100100100010100…
…0000110000000000
310011110000211012000
41021011000300000
510002332104220
6321354304000
742245154300
oct11105006000
93143024160
101226050560
1157a089a29
122a2728000
13167015907
14b8b91600
1572984390
hex49140c00

1226050560 has 528 divisors, whose sum is σ = 5096538720. Its totient is φ = 278691840.

The previous prime is 1226050559. The next prime is 1226050577. The reversal of 1226050560 is 650506221.

1226050560 is a `hidden beast` number, since 1 + 2 + 2 + 605 + 0 + 56 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773670 + ... + 6773850.

Almost surely, 21226050560 is an apocalyptic number.

1226050560 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 1226050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548269360).

1226050560 is an abundant number, since it is smaller than the sum of its proper divisors (3870488160).

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

1226050560 is a wasteful number, since it uses less digits than its factorization.

1226050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1226050560 is about 35015.0047836638. The cubic root of 1226050560 is about 1070.2932669220.

Adding to 1226050560 its reverse (650506221), we get a palindrome (1876556781).

The spelling of 1226050560 in words is "one billion, two hundred twenty-six million, fifty thousand, five hundred sixty".