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23322211440 = 24351113764483
BaseRepresentation
bin10101101110000111…
…001011010001110000
32020012100212002120220
4111232013023101300
5340230441231230
614414123533040
71453642345353
oct255607132160
966170762526
1023322211440
119988864710
12462a68a180
132278a65b18
1411b360429a
15917759d10
hex56e1cb470

23322211440 has 160 divisors (see below), whose sum is σ = 79448414976. Its totient is φ = 5612513280.

The previous prime is 23322211433. The next prime is 23322211453. The reversal of 23322211440 is 4411222332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23322211440.

It is a congruent number.

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, 329439 + ... + 393921.

Almost surely, 223322211440 is an apocalyptic number.

23322211440 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 23322211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39724207488).

23322211440 is an abundant number, since it is smaller than the sum of its proper divisors (56126203536).

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

23322211440 is a wasteful number, since it uses less digits than its factorization.

23322211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64647 (or 64641 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23322211440 its reverse (4411222332), we get a palindrome (27733433772).

The spelling of 23322211440 in words is "twenty-three billion, three hundred twenty-two million, two hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 137 165 176 220 240 264 274 330 411 440 528 548 660 685 822 880 1096 1320 1370 1507 1644 2055 2192 2640 2740 3014 3288 4110 4521 5480 6028 6576 7535 8220 9042 10960 12056 15070 16440 18084 22605 24112 30140 32880 36168 45210 60280 64483 72336 90420 120560 128966 180840 193449 257932 322415 361680 386898 515864 644830 709313 773796 967245 1031728 1289660 1418626 1547592 1934490 2127939 2579320 2837252 3095184 3546565 3868980 4255878 5158640 5674504 7093130 7737960 8511756 8834171 10639695 11349008 14186260 15475920 17023512 17668342 21279390 26502513 28372520 34047024 35336684 42558780 44170855 53005026 56745040 70673368 85117560 88341710 97175881 106010052 132512565 141346736 170235120 176683420 194351762 212020104 265025130 291527643 353366840 388703524 424040208 485879405 530050260 583055286 706733680 777407048 971758810 1060100520 1166110572 1457638215 1554814096 1943517620 2120201040 2332221144 2915276430 3887035240 4664442288 5830552860 7774070480 11661105720 23322211440