Search a number
-
+
1226116458 = 232795310211
BaseRepresentation
bin100100100010101…
…0000110101101010
310011110011011120200
41021011100311222
510002341211313
6321355533030
742245550360
oct11105206552
93143134520
101226116458
1157a124496
122a275a176
131670398c8
14b8bab630
1572998b73
hex49150d6a

1226116458 has 48 divisors (see below), whose sum is σ = 3039581376. Its totient is φ = 349917120.

The previous prime is 1226116457. The next prime is 1226116459. The reversal of 1226116458 is 8546116221.

It is a happy number.

1226116458 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 1 + 1 + 645 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1226116457) and next prime (1226116459).

It is not an unprimeable number, because it can be changed into a prime (1226116457) 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 23 ways as a sum of consecutive naturals, for example, 114973 + ... + 125183.

It is an arithmetic number, because the mean of its divisors is an integer number (63324612).

Almost surely, 21226116458 is an apocalyptic number.

1226116458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1226116458 is an abundant number, since it is smaller than the sum of its proper divisors (1813464918).

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

1226116458 is a wasteful number, since it uses less digits than its factorization.

1226116458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179 (or 11176 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 1226116458 is about 35015.9457676071. The cubic root of 1226116458 is about 1070.3124420209.

The spelling of 1226116458 in words is "one billion, two hundred twenty-six million, one hundred sixteen thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 953 1906 2859 5718 6671 8577 10211 13342 17154 20013 20422 30633 40026 60039 61266 71477 91899 120078 142954 183798 214431 428862 643293 1286586 9731083 19462166 29193249 58386498 68117581 87579747 136235162 175159494 204352743 408705486 613058229 1226116458