Search a number
-
+
1229011056 = 243471317613
BaseRepresentation
bin100100101000001…
…0011100001110000
310011122121020020000
41021100103201300
510004111323211
6321541550000
742312264420
oct11120234160
93148536200
101229011056
11580821219
122a3715300
131678112a0
14b9322480
1572d6b656
hex49413870

1229011056 has 400 divisors, whose sum is σ = 4643077824. Its totient is φ = 304570368.

The previous prime is 1229011033. The next prime is 1229011093. The reversal of 1229011056 is 6501109221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2004606 + ... + 2005218.

Almost surely, 21229011056 is an apocalyptic number.

1229011056 is a gapful number since it is divisible by the number (16) 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 1229011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321538912).

1229011056 is an abundant number, since it is smaller than the sum of its proper divisors (3414066768).

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

1229011056 is a wasteful number, since it uses less digits than its factorization.

1229011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1229011056 is about 35057.2539711826. The cubic root of 1229011056 is about 1071.1540394684.

The spelling of 1229011056 in words is "one billion, two hundred twenty-nine million, eleven thousand, fifty-six".