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22323120030 = 23251078272803
BaseRepresentation
bin10100110010100011…
…111100011110011110
32010121201212222211100
4110302203330132132
5331204204320110
614131033533530
71420121250411
oct246243743636
963551788740
1022323120030
119515901532
1243abb742a6
132149a86383
14111aa51b78
158a9ba7bc0
hex5328fc79e

22323120030 has 96 divisors (see below), whose sum is σ = 58674305664. Its totient is φ = 5887965888.

The previous prime is 22323120013. The next prime is 22323120067. The reversal of 22323120030 is 3002132322.

It is a happy number.

It is a super-3 number, since 3×223231200303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22323119985 and 22323120012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7962609 + ... + 7965411.

It is an arithmetic number, because the mean of its divisors is an integer number (611190684).

Almost surely, 222323120030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22323120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29337152832).

22323120030 is an abundant number, since it is smaller than the sum of its proper divisors (36351185634).

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

22323120030 is a wasteful number, since it uses less digits than its factorization.

22323120030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22323120030 its reverse (3002132322), we get a palindrome (25325252352).

The spelling of 22323120030 in words is "twenty-two billion, three hundred twenty-three million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 827 963 1070 1605 1654 1926 2481 2803 3210 4135 4815 4962 5606 7443 8270 8409 9630 12405 14015 14886 16818 24810 25227 28030 37215 42045 50454 74430 84090 88489 126135 176978 252270 265467 299921 442445 530934 599842 796401 884890 899763 1327335 1499605 1592802 1799526 2318081 2654670 2699289 2999210 3982005 4498815 4636162 5398578 6954243 7964010 8997630 11590405 13496445 13908486 20862729 23180810 26992890 34771215 41725458 69542430 104313645 208627290 248034667 496069334 744104001 1240173335 1488208002 2232312003 2480346670 3720520005 4464624006 7441040010 11161560015 22323120030