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22302401430 = 2357195310987
BaseRepresentation
bin10100110001010100…
…111010001110010110
32010120021220101020210
4110301110322032112
5331133403321210
614125013510250
71416450166341
oct246124721626
963507811223
1022302401430
119505140321
1243a5042386
1321456b0b4a
141117dbb458
158a7e63e20
hex53153a396

22302401430 has 64 divisors (see below), whose sum is σ = 54341549568. Its totient is φ = 5856856320.

The previous prime is 22302401417. The next prime is 22302401437. The reversal of 22302401430 is 3410420322.

It is a junction number, because it is equal to n+sod(n) for n = 22302401397 and 22302401406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302401437) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2024397 + ... + 2035383.

It is an arithmetic number, because the mean of its divisors is an integer number (849086712).

Almost surely, 222302401430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22302401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27170774784).

22302401430 is an abundant number, since it is smaller than the sum of its proper divisors (32039148138).

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

22302401430 is a wasteful number, since it uses less digits than its factorization.

22302401430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12021.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22302401430 its reverse (3410420322), we get a palindrome (25712821752).

The spelling of 22302401430 in words is "twenty-two billion, three hundred two million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 953 1065 1906 2130 2859 4765 5718 9530 10987 14295 21974 28590 32961 54935 65922 67663 109870 135326 164805 202989 329610 338315 405978 676630 780077 1014945 1560154 2029890 2340231 3900385 4680462 7800770 10470611 11701155 20941222 23402310 31411833 52353055 62823666 104706110 157059165 314118330 743413381 1486826762 2230240143 3717066905 4460480286 7434133810 11151200715 22302401430