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22730266338 = 23133123394019
BaseRepresentation
bin10101001010110101…
…000101011011100010
32011200010000011120020
4111022311011123202
5333022422010323
614235300254310
71433164035033
oct251265053342
964603004506
1022730266338
11970470858a
1244a43a1396
1321b322a650
141158b56a8a
158d07cdae3
hex54ad456e2

22730266338 has 64 divisors (see below), whose sum is σ = 50570956800. Its totient is φ = 6763740480.

The previous prime is 22730266319. The next prime is 22730266367. The reversal of 22730266338 is 83366203722.

It is a self number, because there is not a number n which added to its sum of digits gives 22730266338.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5653693 + ... + 5657711.

It is an arithmetic number, because the mean of its divisors is an integer number (790171200).

Almost surely, 222730266338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22730266338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25285478400).

22730266338 is an abundant number, since it is smaller than the sum of its proper divisors (27840690462).

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

22730266338 is a wasteful number, since it uses less digits than its factorization.

22730266338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407.

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 22730266338 in words is "twenty-two billion, seven hundred thirty million, two hundred sixty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 2339 2418 4019 4678 7017 8038 12057 14034 24114 30407 52247 60814 72509 91221 104494 124589 145018 156741 182442 217527 249178 313482 373767 435054 747534 942617 1619657 1885234 2827851 3239314 4858971 5655702 9400441 9717942 18800882 28201323 56402646 122205733 244411466 291413671 366617199 582827342 733234398 874241013 1748482026 3788377723 7576755446 11365133169 22730266338