Search a number
-
+
2354220044 = 2211217359797
BaseRepresentation
bin1000110001010010…
…1000110000001100
320002001212202202222
42030110220300030
514310140020134
61025335034512
7112224353201
oct21424506014
96061782688
102354220044
11aa8994400
1255850ba38
132b697a317
14184943ca8
15dba31a2e
hex8c528c0c

2354220044 has 72 divisors (see below), whose sum is σ = 4814238240. Its totient is φ = 1003087360.

The previous prime is 2354220017. The next prime is 2354220047. The reversal of 2354220044 is 4400224532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2354219995 and 2354220022.

It is not an unprimeable number, because it can be changed into a prime (2354220047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2953454 + ... + 2954250.

It is an arithmetic number, because the mean of its divisors is an integer number (66864420).

Almost surely, 22354220044 is an apocalyptic number.

It is an amenable number.

2354220044 is an abundant number, since it is smaller than the sum of its proper divisors (2460018196).

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

2354220044 is a wasteful number, since it uses less digits than its factorization.

2354220044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2354220044 is about 48520.3054813137. The cubic root of 2354220044 is about 1330.2982435536.

Adding to 2354220044 its reverse (4400224532), we get a palindrome (6754444576).

The spelling of 2354220044 in words is "two billion, three hundred fifty-four million, two hundred twenty thousand, forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 359 374 484 718 748 797 1436 1594 2057 3188 3949 4114 6103 7898 8228 8767 12206 13549 15796 17534 24412 27098 35068 43439 54196 67133 86878 96437 134266 149039 173756 192874 268532 286123 298078 385748 572246 596156 738463 1144492 1476926 1639429 2953852 3147353 3278858 4864091 6294706 6557716 9728182 12589412 19456364 34620883 53505001 69241766 107010002 138483532 214020004 588555011 1177110022 2354220044