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2278974940 = 2251189239487
BaseRepresentation
bin1000011111010110…
…0110010111011100
312212211021220220021
42013311212113130
514131404144230
61014050201524
7110321652544
oct20765462734
95784256807
102278974940
11a6a470670
125372832a4
132a41c32a8
14178958324
15d511bc7a
hex87d665dc

2278974940 has 96 divisors (see below), whose sum is σ = 5312563200. Its totient is φ = 814302720.

The previous prime is 2278974913. The next prime is 2278974949. The reversal of 2278974940 is 494798722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278974949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4679377 + ... + 4679863.

It is an arithmetic number, because the mean of its divisors is an integer number (55339200).

Almost surely, 22278974940 is an apocalyptic number.

2278974940 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 2278974940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656281600).

2278974940 is an abundant number, since it is smaller than the sum of its proper divisors (3033588260).

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

2278974940 is a wasteful number, since it uses less digits than its factorization.

2278974940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The square root of 2278974940 is about 47738.6105788595. The cubic root of 2278974940 is about 1315.9715990274.

The spelling of 2278974940 in words is "two billion, two hundred seventy-eight million, nine hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 239 356 445 478 487 890 956 974 979 1195 1780 1948 1958 2390 2435 2629 3916 4780 4870 4895 5258 5357 9740 9790 10516 10714 13145 19580 21271 21428 26290 26785 42542 43343 52580 53570 85084 86686 106355 107140 116393 173372 212710 216715 232786 233981 425420 433430 465572 467962 476773 581965 866860 935924 953546 1163930 1169905 1280323 1907092 2327860 2339810 2383865 2560646 4679620 4767730 5121292 6401615 9535460 10358977 12803230 20717954 25606460 41435908 51794885 103589770 113948747 207179540 227897494 455794988 569743735 1139487470 2278974940