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2212123120 = 24527651539
BaseRepresentation
bin1000001111011010…
…0101000111110000
312201011111111102221
42003312211013300
514012300414440
61003301250424
7105550510354
oct20366450760
95634444387
102212123120
11a3575a929
12518a03a14
132933b76bc
1416db15464
15ce313d4a
hex83da51f0

2212123120 has 20 divisors (see below), whose sum is σ = 5143186440. Its totient is φ = 884849216.

The previous prime is 2212123099. The next prime is 2212123153. The reversal of 2212123120 is 213212122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212123094 and 2212123103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13825690 + ... + 13825849.

It is an arithmetic number, because the mean of its divisors is an integer number (257159322).

Almost surely, 22212123120 is an apocalyptic number.

2212123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212123120 is an abundant number, since it is smaller than the sum of its proper divisors (2931063320).

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

2212123120 is a wasteful number, since it uses less digits than its factorization.

2212123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27651552 (or 27651546 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2212123120 is about 47033.2129457472. The cubic root of 2212123120 is about 1302.9760457462.

Adding to 2212123120 its reverse (213212122), we get a palindrome (2425335242).

The spelling of 2212123120 in words is "two billion, two hundred twelve million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27651539 55303078 110606156 138257695 221212312 276515390 442424624 553030780 1106061560 2212123120