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2168111840 = 25588715277
BaseRepresentation
bin1000000100111010…
…1100001011100000
312121002200111022112
42001032230023200
513420014034330
6555050054452
7104504434526
oct20116541340
95532614275
102168111840
11a1292a574
1250611a428
1328724811b
14167d3a316
15ca51d795
hex813ac2e0

2168111840 has 48 divisors (see below), whose sum is σ = 5128274592. Its totient is φ = 866210304.

The previous prime is 2168111819. The next prime is 2168111849. The reversal of 2168111840 is 481118612.

It is a happy number.

It is a super-3 number, since 3×21681118403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2168111797 and 2168111806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168111849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134282 + ... + 149558.

It is an arithmetic number, because the mean of its divisors is an integer number (106839054).

Almost surely, 22168111840 is an apocalyptic number.

2168111840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2168111840 is an abundant number, since it is smaller than the sum of its proper divisors (2960162752).

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

2168111840 is a wasteful number, since it uses less digits than its factorization.

2168111840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16179 (or 16171 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 2168111840 is about 46562.9878766387. The cubic root of 2168111840 is about 1294.2769804596.

The spelling of 2168111840 in words is "two billion, one hundred sixty-eight million, one hundred eleven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 887 1774 3548 4435 7096 8870 14192 15277 17740 28384 30554 35480 61108 70960 76385 122216 141920 152770 244432 305540 488864 611080 1222160 2444320 13550699 27101398 54202796 67753495 108405592 135506990 216811184 271013980 433622368 542027960 1084055920 2168111840