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1226129982 = 237114675683
BaseRepresentation
bin100100100010101…
…0100001000111110
310011110011212010120
41021011110020332
510002342124412
6321400115410
742245634660
oct11105241076
93143155116
101226129982
1157a133670
122a2765b66
13167042acc
14b8bb2530
157299cb8c
hex4915423e

1226129982 has 64 divisors (see below), whose sum is σ = 3064449024. Its totient is φ = 317737440.

The previous prime is 1226129959. The next prime is 1226129987. The reversal of 1226129982 is 2899216221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226129987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 212913 + ... + 218595.

It is an arithmetic number, because the mean of its divisors is an integer number (47882016).

Almost surely, 21226129982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1226129982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532224512).

1226129982 is an abundant number, since it is smaller than the sum of its proper divisors (1838319042).

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

1226129982 is a wasteful number, since it uses less digits than its factorization.

1226129982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173.

The product of its digits is 62208, while the sum is 42.

The square root of 1226129982 is about 35016.1388790940. The cubic root of 1226129982 is about 1070.3163771698.

The spelling of 1226129982 in words is "one billion, two hundred twenty-six million, one hundred twenty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 467 934 1401 2802 3269 5137 5683 6538 9807 10274 11366 15411 17049 19614 30822 34098 35959 39781 62513 71918 79562 107877 119343 125026 187539 215754 238686 375078 437591 875182 1312773 2625546 2653961 5307922 7961883 15923766 18577727 29193571 37155454 55733181 58387142 87580713 111466362 175161426 204354997 408709994 613064991 1226129982