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22312322304 = 283157118493
BaseRepresentation
bin10100110001111010…
…110000010100000000
32010120222120102010120
4110301322300110000
5331143423303204
614130010300240
71416630416226
oct246172602400
963528512116
1022312322304
11950a7a6a98
1243a8427680
13214777569c
141119440b16
158a8c736d9
hex531eb0500

22312322304 has 72 divisors (see below), whose sum is σ = 59424328992. Its totient is φ = 7432304640.

The previous prime is 22312322297. The next prime is 22312322317. The reversal of 22312322304 is 40322321322.

It is a super-3 number, since 3×223123223043 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197282 + ... + 1215774.

Almost surely, 222312322304 is an apocalyptic number.

22312322304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712164496).

22312322304 is an abundant number, since it is smaller than the sum of its proper divisors (37112006688).

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

22312322304 is a wasteful number, since it uses less digits than its factorization.

22312322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083 (or 20069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22312322304 its reverse (40322321322), we get a palindrome (62634643626).

The spelling of 22312322304 in words is "twenty-two billion, three hundred twelve million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1571 3142 4713 6284 9426 12568 18493 18852 25136 36986 37704 50272 55479 73972 75408 100544 110958 147944 150816 201088 221916 295888 301632 402176 443832 591776 603264 887664 1183552 1206528 1775328 2367104 3550656 4734208 7101312 14202624 29052503 58105006 87157509 116210012 174315018 232420024 348630036 464840048 697260072 929680096 1394520144 1859360192 2789040288 3718720384 5578080576 7437440768 11156161152 22312322304