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21224162305216 = 261325509810463
BaseRepresentation
bin1001101001101101000101…
…01001111010010011000000
32210011000021100210220020101
410310312202221322103000
510240214041022231331
6113050125012452144
74320252345645313
oct464664251722300
983130240726211
1021224162305216
116843131343712
12246947501a054
13bac5786b4860
1453537d79097a
1526c150e23061
hex134da2a7a4c0

21224162305216 has 28 divisors (see below), whose sum is σ = 45356443004992. Its totient is φ = 9795767217408.

The previous prime is 21224162305211. The next prime is 21224162305267. The reversal of 21224162305216 is 61250326142212.

It is a super-2 number, since 2×212241623052162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21224162305211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12754904400 + ... + 12754906063.

It is an arithmetic number, because the mean of its divisors is an integer number (1619872964464).

Almost surely, 221224162305216 is an apocalyptic number.

21224162305216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21224162305216 is an abundant number, since it is smaller than the sum of its proper divisors (24132280699776).

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

21224162305216 is a wasteful number, since it uses less digits than its factorization.

21224162305216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25509810488 (or 25509810478 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

Adding to 21224162305216 its reverse (61250326142212), we get a palindrome (82474488447428).

The spelling of 21224162305216 in words is "twenty-one trillion, two hundred twenty-four billion, one hundred sixty-two million, three hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 25509810463 51019620926 102039241852 204078483704 331627536019 408156967408 663255072038 816313934816 1326510144076 1632627869632 2653020288152 5306040576304 10612081152608 21224162305216