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1214799872 = 21311131761
BaseRepresentation
bin100100001101000…
…0110000000000000
310010122212020010212
41020122012000000
54441442043442
6320313213252
742050425406
oct11032060000
93118766125
101214799872
115737a5140
1229aa01228
131648a69c0
14b74a3476
15719b0a82
hex48686000

1214799872 has 224 divisors, whose sum is σ = 3071615904. Its totient is φ = 471859200.

The previous prime is 1214799851. The next prime is 1214799907. The reversal of 1214799872 is 2789974121.

It is a super-2 number, since 2×12147998722 = 2951477458022432768, which contains 22 as substring.

Its product of digits (508032) is a multiple of the sum of its prime factors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1214799872.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19914722 + ... + 19914782.

It is an arithmetic number, because the mean of its divisors is an integer number (13712571).

Almost surely, 21214799872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535807952).

1214799872 is an abundant number, since it is smaller than the sum of its proper divisors (1856816032).

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

1214799872 is a wasteful number, since it uses less digits than its factorization.

1214799872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its digits is 508032, while the sum is 50.

The square root of 1214799872 is about 34853.9792850113. The cubic root of 1214799872 is about 1067.0094009742.

The spelling of 1214799872 in words is "one billion, two hundred fourteen million, seven hundred ninety-nine thousand, eight hundred seventy-two".