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22228386288 = 2434324144687
BaseRepresentation
bin10100101100111010…
…100100000111110000
32010101010122000120020
4110230322210013300
5331010431330123
614113411243440
71414561110633
oct245472440760
963333560506
1022228386288
119477387689
1243842a9580
1321332678c4
14110c231c1a
158a16e37e3
hex52cea41f0

22228386288 has 80 divisors (see below), whose sum is σ = 59003890176. Its totient is φ = 7206958080.

The previous prime is 22228386287. The next prime is 22228386293. The reversal of 22228386288 is 88268382222.

It is a super-3 number, since 3×222283862883 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22228386288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22228386287) 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, 475081 + ... + 519767.

Almost surely, 222228386288 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 22228386288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29501945088).

22228386288 is an abundant number, since it is smaller than the sum of its proper divisors (36775503888).

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

22228386288 is a wasteful number, since it uses less digits than its factorization.

22228386288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44982 (or 44976 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The spelling of 22228386288 in words is "twenty-two billion, two hundred twenty-eight million, three hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 241 258 344 482 516 688 723 964 1032 1446 1928 2064 2892 3856 5784 10363 11568 20726 31089 41452 44687 62178 82904 89374 124356 134061 165808 178748 248712 268122 357496 497424 536244 714992 1072488 1921541 2144976 3843082 5764623 7686164 10769567 11529246 15372328 21539134 23058492 30744656 32308701 43078268 46116984 64617402 86156536 92233968 129234804 172313072 258469608 463091381 516939216 926182762 1389274143 1852365524 2778548286 3704731048 5557096572 7409462096 11114193144 22228386288