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21820227242 = 2112414115471
BaseRepresentation
bin10100010100100101…
…100011111010101010
32002022200121101121112
4110110211203322222
5324141434232432
614005111110322
71401503604602
oct242445437252
962280541545
1021820227242
119287a49760
12428b6723a2
13209982a688
1410add45c02
1587a96c7b2
hex514963eaa

21820227242 has 16 divisors (see below), whose sum is σ = 35853992064. Its totient is φ = 9877128000.

The previous prime is 21820227203. The next prime is 21820227257. The reversal of 21820227242 is 24272202812.

It is a super-2 number, since 2×218202272422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21820227199 and 21820227208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052434 + ... + 2063037.

It is an arithmetic number, because the mean of its divisors is an integer number (2240874504).

Almost surely, 221820227242 is an apocalyptic number.

21820227242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21820227242 is a deficient number, since it is larger than the sum of its proper divisors (14033764822).

21820227242 is a wasteful number, since it uses less digits than its factorization.

21820227242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115725.

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 21820227242 in words is "twenty-one billion, eight hundred twenty million, two hundred twenty-seven thousand, two hundred forty-two".

Divisors: 1 2 11 22 241 482 2651 5302 4115471 8230942 45270181 90540362 991828511 1983657022 10910113621 21820227242