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21224242212 = 2231773101103137
BaseRepresentation
bin10011110001000100…
…000011110000100100
32000210011011012211220
4103301010003300210
5321431401222322
613430021100340
71350646040115
oct236104036044
960704135756
1021224242212
119001593348
124143b576b0
132003209404
141054b2620c
1584349455c
hex4f1103c24

21224242212 has 192 divisors, whose sum is σ = 54597763584. Its totient is φ = 6392217600.

The previous prime is 21224242153. The next prime is 21224242223.

21224242212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 154921408 + ... + 154921544.

It is an arithmetic number, because the mean of its divisors is an integer number (284363352).

Almost surely, 221224242212 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 21224242212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27298881792).

21224242212 is an abundant number, since it is smaller than the sum of its proper divisors (33373521372).

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

21224242212 is a wasteful number, since it uses less digits than its factorization.

21224242212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 436 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The spelling of 21224242212 in words is "twenty-one billion, two hundred twenty-four million, two hundred forty-two thousand, two hundred twelve".