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22330101320 = 2353171761049
BaseRepresentation
bin10100110010111110…
…100100111001001000
32010122020000200100122
4110302332210321020
5331213001220240
614131443322412
71420234505132
oct246276447110
963566020318
1022330101320
11951983a69a
1243b2380408
13214b35bc07
14111b94c052
158aa5d64b5
hex532fa4e48

22330101320 has 32 divisors (see below), whose sum is σ = 50401251000. Its totient is φ = 8903858688.

The previous prime is 22330101317. The next prime is 22330101323. The reversal of 22330101320 is 2310103322.

It is an interprime number because it is at equal distance from previous prime (22330101317) and next prime (22330101323).

It can be written as a sum of positive squares in 4 ways, for example, as 14681199556 + 7648901764 = 121166^2 + 87458^2 .

It is a super-2 number, since 2×223301013202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22330101323) 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 7 ways as a sum of consecutive naturals, for example, 867845 + ... + 893204.

Almost surely, 222330101320 is an apocalyptic number.

22330101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22330101320 is an abundant number, since it is smaller than the sum of its proper divisors (28071149680).

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

22330101320 is a wasteful number, since it uses less digits than its factorization.

22330101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761377 (or 1761373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22330101320 its reverse (2310103322), we get a palindrome (24640204642).

The spelling of 22330101320 in words is "twenty-two billion, three hundred thirty million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2536 3170 6340 12680 1761049 3522098 7044196 8805245 14088392 17610490 35220980 70441960 558252533 1116505066 2233010132 2791262665 4466020264 5582525330 11165050660 22330101320