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22132214010 = 23653035969
BaseRepresentation
bin10100100111001011…
…101100100011111010
32010010102122222000000
4110213023230203322
5330311321322020
614100054053430
71412312500164
oct244713544372
963112588000
1022132214010
11942806aa65
12435804a276
13211936442a
1410dd559934
15898048090
hex5272ec8fa

22132214010 has 56 divisors (see below), whose sum is σ = 59729673780. Its totient is φ = 5901921792.

The previous prime is 22132213981. The next prime is 22132214017. The reversal of 22132214010 is 1041223122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22124480049 + 7733961 = 148743^2 + 2781^2 .

It is a super-4 number, since 4×221322140104 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22132214017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1510695 + ... + 1525274.

Almost surely, 222132214010 is an apocalyptic number.

22132214010 is an abundant number, since it is smaller than the sum of its proper divisors (37597459770).

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

22132214010 is an equidigital number, since it uses as much as digits as its factorization.

22132214010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035994 (or 3035979 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22132214010 its reverse (1041223122), we get a palindrome (23173437132).

The spelling of 22132214010 in words is "twenty-two billion, one hundred thirty-two million, two hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 3035969 6071938 9107907 15179845 18215814 27323721 30359690 45539535 54647442 81971163 91079070 136618605 163942326 245913489 273237210 409855815 491826978 737740467 819711630 1229567445 1475480934 2213221401 2459134890 3688702335 4426442802 7377404670 11066107005 22132214010