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2683228880 = 24553738669
BaseRepresentation
bin1001111111101110…
…1101001011010000
320220222222011001102
42133323231023100
520443401311010
61122130523532
7123331032503
oct23773551320
96828864042
102683228880
111157681632
1262a7365a8
13339b93bc7
141b650913a
1510a870ba5
hex9feed2d0

2683228880 has 80 divisors (see below), whose sum is σ = 6444029520. Its totient is φ = 1038495744.

The previous prime is 2683228879. The next prime is 2683228943. The reversal of 2683228880 is 888223862.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6615184 + 2676613696 = 2572^2 + 51736^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305186 + ... + 313854.

It is an arithmetic number, because the mean of its divisors is an integer number (80550369).

Almost surely, 22683228880 is an apocalyptic number.

2683228880 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 2683228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222014760).

2683228880 is an abundant number, since it is smaller than the sum of its proper divisors (3760800640).

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

2683228880 is a wasteful number, since it uses less digits than its factorization.

2683228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The square root of 2683228880 is about 51799.8926639815. The cubic root of 2683228880 is about 1389.5875249046.

The spelling of 2683228880 in words is "two billion, six hundred eighty-three million, two hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 73 80 106 146 212 265 292 365 424 530 584 730 848 1060 1168 1460 2120 2920 3869 4240 5840 7738 8669 15476 17338 19345 30952 34676 38690 43345 61904 69352 77380 86690 138704 154760 173380 309520 346760 459457 632837 693520 918914 1265674 1837828 2297285 2531348 3164185 3675656 4594570 5062696 6328370 7351312 9189140 10125392 12656740 18378280 25313480 33540361 36756560 50626960 67080722 134161444 167701805 268322888 335403610 536645776 670807220 1341614440 2683228880