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1226052054 = 2323761103293
BaseRepresentation
bin100100100010100…
…0001000111010110
310011110000220020100
41021011001013112
510002332131204
6321354314530
742245161533
oct11105010726
93143026210
101226052054
1157a090067
122a2728a46
131670164b6
14b8b91d8a
1572984a39
hex491411d6

1226052054 has 96 divisors (see below), whose sum is σ = 2809445184. Its totient is φ = 386000640.

The previous prime is 1226052049. The next prime is 1226052059. The reversal of 1226052054 is 4502506221.

1226052054 is a `hidden beast` number, since 1 + 2 + 2 + 605 + 2 + 0 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (1226052049) and next prime (1226052059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226052059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4184332 + ... + 4184624.

It is an arithmetic number, because the mean of its divisors is an integer number (29265054).

Almost surely, 21226052054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226052054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404722592).

1226052054 is an abundant number, since it is smaller than the sum of its proper divisors (1583393130).

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

1226052054 is a wasteful number, since it uses less digits than its factorization.

1226052054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1226052054 is about 35015.0261173685. The cubic root of 1226052054 is about 1070.2937016560.

Adding to 1226052054 its reverse (4502506221), we get a palindrome (5728558275).

The spelling of 1226052054 in words is "one billion, two hundred twenty-six million, fifty-two thousand, fifty-four".

Divisors: 1 2 3 6 9 18 37 61 74 103 111 122 183 206 222 293 309 333 366 549 586 618 666 879 927 1098 1758 1854 2257 2637 3811 4514 5274 6283 6771 7622 10841 11433 12566 13542 17873 18849 20313 21682 22866 30179 32523 34299 35746 37698 40626 53619 56547 60358 65046 68598 90537 97569 107238 113094 160857 181074 195138 232471 271611 321714 464942 543222 661301 697413 1116623 1322602 1394826 1840919 1983903 2092239 2233246 3349869 3681838 3967806 4184478 5522757 5951709 6699738 10049607 11045514 11903418 16568271 20099214 33136542 68114003 136228006 204342009 408684018 613026027 1226052054