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22410041340 = 22351928616871
BaseRepresentation
bin10100110111101111…
…100001011111111100
32010211210110001110010
4110313233201133330
5331343432310330
614143420543220
71422225131331
oct246757413774
963753401403
1022410041340
11955a97a825
1244150b1b10
132161a9abbb
1411283da988
158b26273b0
hex537be17fc

22410041340 has 96 divisors (see below), whose sum is σ = 66083351040. Its totient is φ = 5658681600.

The previous prime is 22410041333. The next prime is 22410041371. The reversal of 22410041340 is 4314001422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3258105 + ... + 3264975.

It is an arithmetic number, because the mean of its divisors is an integer number (688368240).

Almost surely, 222410041340 is an apocalyptic number.

22410041340 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 22410041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33041675520).

22410041340 is an abundant number, since it is smaller than the sum of its proper divisors (43673309700).

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

22410041340 is a wasteful number, since it uses less digits than its factorization.

22410041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763 (or 9761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22410041340 its reverse (4314001422), we get a palindrome (26724042762).

The spelling of 22410041340 in words is "twenty-two billion, four hundred ten million, forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 2861 5722 6871 8583 11444 13742 14305 17166 20613 27484 28610 34332 34355 41226 42915 54359 57220 68710 82452 85830 103065 108718 130549 137420 163077 171660 206130 217436 261098 271795 326154 391647 412260 522196 543590 652308 652745 783294 815385 1087180 1305490 1566588 1630770 1958235 2610980 3261540 3916470 7832940 19657931 39315862 58973793 78631724 98289655 117947586 196579310 235895172 294868965 373500689 393158620 589737930 747001378 1120502067 1179475860 1494002756 1867503445 2241004134 3735006890 4482008268 5602510335 7470013780 11205020670 22410041340