Search a number
-
+
1228367872 = 2114114629
BaseRepresentation
bin100100100110111…
…0110100000000000
310011121101112221101
41021031312200000
510003430232442
6321520104144
742303645304
oct11115664000
93147345841
101228367872
11580421a66
122a3465054
131676475c4
14b91d5d04
1572c90cb7
hex49376800

1228367872 has 48 divisors (see below), whose sum is σ = 2516213700. Its totient is φ = 599162880.

The previous prime is 1228367869. The next prime is 1228367887. The reversal of 1228367872 is 2787638221.

It can be written as a sum of positive squares in 2 ways, for example, as 989479936 + 238887936 = 31456^2 + 15456^2 .

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 3 ways as a sum of consecutive naturals, for example, 76654 + ... + 91282.

Almost surely, 21228367872 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 1228367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258106850).

1228367872 is an abundant number, since it is smaller than the sum of its proper divisors (1287845828).

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

1228367872 is an equidigital number, since it uses as much as digits as its factorization.

1228367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14692 (or 14672 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 1228367872 is about 35048.0794338292. The cubic root of 1228367872 is about 1070.9671495418.

The spelling of 1228367872 in words is "one billion, two hundred twenty-eight million, three hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 5248 10496 14629 20992 29258 41984 58516 83968 117032 234064 468128 599789 936256 1199578 1872512 2399156 3745024 4798312 7490048 9596624 14980096 19193248 29960192 38386496 76772992 153545984 307091968 614183936 1228367872