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2277113940 = 22325371811889
BaseRepresentation
bin1000011110111010…
…0000000001010100
312212200210101002100
42013232200001110
514130420121230
61013542242100
7110300102103
oct20756400124
95780711070
102277113940
11a6940a452
12536726330
132a39c11ca
141785d203a
15d4da0660
hex87ba0054

2277113940 has 144 divisors (see below), whose sum is σ = 7136897040. Its totient is φ = 587243520.

The previous prime is 2277113939. The next prime is 2277113981. The reversal of 2277113940 is 493117722.

It can be written as a sum of positive squares in 8 ways, for example, as 83503044 + 2193610896 = 9138^2 + 46836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2277113895 and 2277113904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204516 + ... + 1206404.

It is an arithmetic number, because the mean of its divisors is an integer number (49561785).

Almost surely, 22277113940 is an apocalyptic number.

2277113940 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 2277113940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568448520).

2277113940 is an abundant number, since it is smaller than the sum of its proper divisors (4859783100).

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

2277113940 is a wasteful number, since it uses less digits than its factorization.

2277113940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2277113940 is about 47719.1150378965. The cubic root of 2277113940 is about 1315.6132961159.

The spelling of 2277113940 in words is "two billion, two hundred seventy-seven million, one hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 181 185 222 333 362 370 444 543 555 666 724 740 905 1086 1110 1332 1629 1665 1810 1889 2172 2220 2715 3258 3330 3620 3778 5430 5667 6516 6660 6697 7556 8145 9445 10860 11334 13394 16290 17001 18890 20091 22668 26788 28335 32580 33485 34002 37780 40182 56670 60273 66970 68004 69893 80364 85005 100455 113340 120546 133940 139786 170010 200910 209679 241092 279572 301365 340020 341909 349465 401820 419358 602730 629037 683818 698930 838716 1025727 1048395 1205460 1258074 1367636 1397860 1709545 2051454 2096790 2516148 3077181 3145185 3419090 4102908 4193580 5128635 6154362 6290370 6838180 10257270 12308724 12580740 12650633 15385905 20514540 25301266 30771810 37951899 50602532 61543620 63253165 75903798 113855697 126506330 151807596 189759495 227711394 253012660 379518990 455422788 569278485 759037980 1138556970 2277113940