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22322254328 = 231117131113903
BaseRepresentation
bin10100110010100000…
…101001000111111000
32010121200021000022022
4110302200221013320
5331203444114303
614131003214012
71420111013453
oct246240510770
963550230268
1022322254328
119515370080
1243ab817308
13214984231a
14111a8a849a
158a9a86438
hex5328291f8

22322254328 has 64 divisors (see below), whose sum is σ = 48714462720. Its totient is φ = 9476646400.

The previous prime is 22322254321. The next prime is 22322254337. The reversal of 22322254328 is 82345222322.

It is a super-3 number, since 3×223222543283 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322254321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139025 + ... + 252927.

It is an arithmetic number, because the mean of its divisors is an integer number (761163480).

Almost surely, 222322254328 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 22322254328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24357231360).

22322254328 is an abundant number, since it is smaller than the sum of its proper divisors (26392208392).

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

22322254328 is a wasteful number, since it uses less digits than its factorization.

22322254328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114068 (or 114064 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

The spelling of 22322254328 in words is "twenty-two billion, three hundred twenty-two million, two hundred fifty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 131 136 187 262 374 524 748 1048 1441 1496 2227 2882 4454 5764 8908 11528 17816 24497 48994 97988 113903 195976 227806 455612 911224 1252933 1936351 2505866 3872702 5011732 7745404 10023464 14921293 15490808 21299861 29842586 42599722 59685172 85199444 119370344 164134223 170398888 253661981 328268446 507323962 656536892 1014647924 1313073784 2029295848 2790281791 5580563582 11161127164 22322254328