Search a number
-
+
23320011222 = 23217298929527
BaseRepresentation
bin10101101101111110…
…110010000111010110
32020012012201022110100
4111231332302013112
5340224410324342
614414004434530
71453614552624
oct255576620726
966165638410
1023320011222
1199875a1652
1246299a8a46
132278475511
1411b31d0514
15917472e4c
hex56dfb21d6

23320011222 has 96 divisors (see below), whose sum is σ = 55967371200. Its totient is φ = 6984198144.

The previous prime is 23320011203. The next prime is 23320011233. The reversal of 23320011222 is 22211002332.

23320011222 is a `hidden beast` number, since 233 + 200 + 11 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23320011195 and 23320011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775023 + ... + 804549.

It is an arithmetic number, because the mean of its divisors is an integer number (582993450).

Almost surely, 223320011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27983685600).

23320011222 is an abundant number, since it is smaller than the sum of its proper divisors (32647359978).

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

23320011222 is a wasteful number, since it uses less digits than its factorization.

23320011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23320011222 its reverse (22211002332), we get a palindrome (45531013554).

The spelling of 23320011222 in words is "twenty-three billion, three hundred twenty million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 89 102 153 174 178 261 267 306 493 522 534 801 986 1479 1513 1602 2581 2958 3026 4437 4539 5162 7743 8874 9078 13617 15486 23229 27234 29527 43877 46458 59054 87754 88581 131631 177162 263262 265743 394893 501959 531486 789786 856283 1003918 1505877 1712566 2568849 2627903 3011754 4517631 5137698 5255806 7706547 7883709 9035262 14556811 15413094 15767418 23651127 29113622 43670433 44674351 47302254 76209187 87340866 89348702 131011299 134023053 152418374 228627561 262022598 268046106 402069159 457255122 685882683 804138318 1295556179 1371765366 2591112358 3886668537 7773337074 11660005611 23320011222