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22503024304 = 2417211343067
BaseRepresentation
bin10100111101010010…
…001110011010110000
32011002021102002002121
4110331102032122300
5332041233234204
614200541524024
71424434356565
oct247522163260
964067362077
1022503024304
1195a8409252
124440273614
1321781257c7
1411368c286c
158ba892b54
hex53d48e6b0

22503024304 has 60 divisors (see below), whose sum is σ = 46726109784. Its totient is φ = 10495700992.

The previous prime is 22503024293. The next prime is 22503024307. The reversal of 22503024304 is 40342030522.

It is a super-2 number, since 2×225030243042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22503024307) 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 11 ways as a sum of consecutive naturals, for example, 500979 + ... + 544045.

Almost surely, 222503024304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22503024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363054892).

22503024304 is an abundant number, since it is smaller than the sum of its proper divisors (24223085480).

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

22503024304 is a wasteful number, since it uses less digits than its factorization.

22503024304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43222 (or 43199 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 22503024304 its reverse (40342030522), we get a palindrome (62845054826).

The spelling of 22503024304 in words is "twenty-two billion, five hundred three million, twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 289 452 578 904 1156 1808 1921 2312 3842 4624 7684 15368 30736 32657 43067 65314 86134 130628 172268 261256 344536 522512 689072 732139 1464278 2928556 4866571 5857112 9733142 11714224 12446363 19466284 24892726 38932568 49785452 77865136 82731707 99570904 165463414 199141808 330926828 661853656 1323707312 1406439019 2812878038 5625756076 11251512152 22503024304