Search a number
-
+
2189426688 = 2233229
BaseRepresentation
bin1000001010000000…
…0000000000000000
312122120210101210100
42002200000000000
513440443123223
61001131002400
7105153551121
oct20240000000
95576711710
102189426688
11a23968749
12511299400
1328b79bb67
1416aac8048
15cc32e043
hex82800000

2189426688 has 144 divisors (see below), whose sum is σ = 6543113850. Its totient is φ = 704643072.

The previous prime is 2189426683. The next prime is 2189426699. The reversal of 2189426688 is 8866249812.

2189426688 is a `hidden beast` number, since 218 + 94 + 266 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 339738624 = 43008^2 + 18432^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2654208) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (2189426683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75497458 + ... + 75497486.

Almost surely, 22189426688 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 2189426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271556925).

2189426688 is an abundant number, since it is smaller than the sum of its proper divisors (4353687162).

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

2189426688 is an frugal number, since it uses more digits than its factorization.

2189426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2189426688 is about 46791.3099624279. The cubic root of 2189426688 is about 1298.5045304281.

The spelling of 2189426688 in words is "two billion, one hundred eighty-nine million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2048 2088 2304 2784 3072 3712 4096 4176 4608 5568 6144 7424 8192 8352 9216 11136 12288 14848 16384 16704 18432 22272 24576 29696 32768 33408 36864 44544 49152 59392 65536 66816 73728 89088 98304 118784 131072 133632 147456 178176 196608 237568 262144 267264 294912 356352 393216 475136 524288 534528 589824 712704 786432 950272 1048576 1069056 1179648 1425408 1572864 1900544 2097152 2138112 2359296 2850816 3145728 3801088 4194304 4276224 4718592 5701632 6291456 7602176 8388608 8552448 9437184 11403264 12582912 15204352 17104896 18874368 22806528 25165824 30408704 34209792 37748736 45613056 60817408 68419584 75497472 91226112 121634816 136839168 182452224 243269632 273678336 364904448 547356672 729808896 1094713344 2189426688