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22760391368 = 231121323732
BaseRepresentation
bin10101001100101000…
…000000001011001000
32011202012200200100002
4111030220000023020
5333103130010433
614242254102132
71434011064101
oct251450001310
964665620302
1022760391368
11971a713a00
1244b24aa948
1321b9547500
14115cb593a8
158d327e9e8
hex54ca002c8

22760391368 has 108 divisors (see below), whose sum is σ = 50930452755. Its totient is φ = 9524211840.

The previous prime is 22760391343. The next prime is 22760391383. The reversal of 22760391368 is 86319306722.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4101377764 + 18659013604 = 64042^2 + 136598^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106678.

It is a super-2 number, since 2×227603913682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 61019630 + ... + 61020002.

Almost surely, 222760391368 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 22760391368

22760391368 is an abundant number, since it is smaller than the sum of its proper divisors (28170061387).

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

22760391368 is a wasteful number, since it uses less digits than its factorization.

22760391368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 22760391368 in words is "twenty-two billion, seven hundred sixty million, three hundred ninety-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 373 484 572 676 746 968 1144 1352 1492 1573 1859 2984 3146 3718 4103 4849 6292 7436 8206 9698 12584 14872 16412 19396 20449 32824 38792 40898 45133 53339 63037 81796 90266 106678 126074 139129 163592 180532 213356 252148 278258 361064 426712 504296 556516 586729 693407 1113032 1173458 1386814 1530419 1808677 2346916 2773628 3060838 3617354 4693832 5547256 6121676 7234708 7627477 12243352 14469416 15254954 16834609 19895447 23512801 30509908 33669218 39790894 47025602 61019816 67338436 79581788 94051204 134676872 159163576 188102408 218849917 258640811 437699834 517281622 875399668 1034563244 1750799336 2069126488 2845048921 5690097842 11380195684 22760391368