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10221322020224 = 27721629675067
BaseRepresentation
bin1001010010111101011001…
…0001001010010110000000
31100012011000111122210101112
42110233112101022112000
52314431231414121344
633423335512022452
72103315613440500
oct224572621122600
940164014583345
1010221322020224
1132909248a1637
121190b64091a28
13591b359ca0c3
14274a00d09a00
1512ad30222c9e
hex94bd644a580

10221322020224 has 48 divisors (see below), whose sum is σ = 23687327113380. Its totient is φ = 4380566577408.

The previous prime is 10221322020199. The next prime is 10221322020229. The reversal of 10221322020224 is 42202022312201.

It is a super-2 number, since 2×102213220202242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10221322020224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221322020229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 814831262 + ... + 814843805.

Almost surely, 210221322020224 is an apocalyptic number.

10221322020224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221322020224 is an abundant number, since it is smaller than the sum of its proper divisors (13466005093156).

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

10221322020224 is an equidigital number, since it uses as much as digits as its factorization.

10221322020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629675095 (or 1629675076 counting only the distinct ones).

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

Adding to 10221322020224 its reverse (42202022312201), we get a palindrome (52423344332425).

The spelling of 10221322020224 in words is "ten trillion, two hundred twenty-one billion, three hundred twenty-two million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 1629675067 3259350134 6518700268 11407725469 13037400536 22815450938 26074801072 45630901876 52149602144 79854078283 91261803752 104299204288 159708156566 182523607504 208598408576 319416313132 365047215008 638832626264 730094430016 1277665252528 1460188860032 2555330505056 5110661010112 10221322020224