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22003066320 = 2435439208837
BaseRepresentation
bin10100011111011111…
…000010010111010000
32002210102122120200020
4110133133002113100
5330030241110240
614035202023440
71406153656254
oct243737022720
962712576606
1022003066320
119371180434
124320947b80
1320c8686891
1410ca33c264
1588ba370d0
hex51f7c25d0

22003066320 has 80 divisors (see below), whose sum is σ = 68365207680. Its totient is φ = 5854090752.

The previous prime is 22003066307. The next prime is 22003066339. The reversal of 22003066320 is 2366030022.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942 + ... + 209778.

It is an arithmetic number, because the mean of its divisors is an integer number (854565096).

Almost surely, 222003066320 is an apocalyptic number.

22003066320 is a gapful number since it is divisible by the number (20) 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 22003066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34182603840).

22003066320 is an abundant number, since it is smaller than the sum of its proper divisors (46362141360).

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

22003066320 is a wasteful number, since it uses less digits than its factorization.

22003066320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209292 (or 209286 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 22003066320 its reverse (2366030022), we get a palindrome (24369096342).

The spelling of 22003066320 in words is "twenty-two billion, three million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 439 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 17560 21072 26340 35120 52680 105360 208837 417674 626511 835348 1044185 1253022 1670696 2088370 2506044 3132555 3341392 4176740 5012088 6265110 8353480 10024176 12530220 16706960 25060440 50120880 91679443 183358886 275038329 366717772 458397215 550076658 733435544 916794430 1100153316 1375191645 1466871088 1833588860 2200306632 2750383290 3667177720 4400613264 5500766580 7334355440 11001533160 22003066320