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22111044432 = 24329101157271
BaseRepresentation
bin10100100101111010…
…111100001101010000
32010001221211102210120
4110211322330031100
5330240411410212
614054020230240
71411634530251
oct244572741520
963057742716
1022111044432
119417120a44
124350b3b380
132114b61859
1410da808b28
1589626588c
hex525ebc350

22111044432 has 80 divisors (see below), whose sum is σ = 59675287680. Its totient is φ = 7045696000.

The previous prime is 22111044409. The next prime is 22111044437. The reversal of 22111044432 is 23444011122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111044437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61957 + ... + 219227.

It is an arithmetic number, because the mean of its divisors is an integer number (745941096).

Almost surely, 222111044432 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 22111044432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29837643840).

22111044432 is an abundant number, since it is smaller than the sum of its proper divisors (37564243248).

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

22111044432 is a wasteful number, since it uses less digits than its factorization.

22111044432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157412 (or 157406 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22111044432 its reverse (23444011122), we get a palindrome (45555055554).

The spelling of 22111044432 in words is "twenty-two billion, one hundred eleven million, forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 101 116 174 202 232 303 348 404 464 606 696 808 1212 1392 1616 2424 2929 4848 5858 8787 11716 17574 23432 35148 46864 70296 140592 157271 314542 471813 629084 943626 1258168 1887252 2516336 3774504 4560859 7549008 9121718 13682577 15884371 18243436 27365154 31768742 36486872 47653113 54730308 63537484 72973744 95306226 109460616 127074968 190612452 218921232 254149936 381224904 460646759 762449808 921293518 1381940277 1842587036 2763880554 3685174072 5527761108 7370348144 11055522216 22111044432