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2212123424 = 25721519343
BaseRepresentation
bin1000001111011010…
…0101001100100000
312201011111111212012
42003312211030200
514012300422144
61003301252052
7105550511300
oct20366451440
95634444765
102212123424
11a35760085
12518a04028
132933b7894
1416db15600
15ce313e9e
hex83da5320

2212123424 has 72 divisors (see below), whose sum is σ = 5100254208. Its totient is φ = 941673600.

The previous prime is 2212123421. The next prime is 2212123439. The reversal of 2212123424 is 4243212122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212123424.

It is not an unprimeable number, because it can be changed into a prime (2212123421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232097 + ... + 241439.

It is an arithmetic number, because the mean of its divisors is an integer number (70836864).

Almost surely, 22212123424 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 2212123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550127104).

2212123424 is an abundant number, since it is smaller than the sum of its proper divisors (2888130784).

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

2212123424 is a wasteful number, since it uses less digits than its factorization.

2212123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9503 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 2212123424 is about 47033.2161775059. The cubic root of 2212123424 is about 1302.9761054332.

Adding to 2212123424 its reverse (4243212122), we get a palindrome (6455335546).

The spelling of 2212123424 in words is "two billion, two hundred twelve million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 151 196 224 302 392 604 784 1057 1208 1568 2114 2416 4228 4832 7399 8456 9343 14798 16912 18686 29596 33824 37372 59192 65401 74744 118384 130802 149488 236768 261604 298976 457807 523208 915614 1046416 1410793 1831228 2092832 2821586 3662456 5643172 7324912 9875551 11286344 14649824 19751102 22572688 39502204 45145376 69128857 79004408 138257714 158008816 276515428 316017632 553030856 1106061712 2212123424