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2262244740 = 2235721745263
BaseRepresentation
bin1000011011010111…
…0001110110000100
312211122210221101020
42012311301312010
514113113312430
61012251431140
7110026522500
oct20665616604
95748727336
102262244740
11a60a83a58
125317554b0
132a08b6272
14176641300
15d3914b10
hex86d71d84

2262244740 has 144 divisors (see below), whose sum is σ = 7802065152. Its totient is φ = 486657024.

The previous prime is 2262244727. The next prime is 2262244753. The reversal of 2262244740 is 474422622.

It is an interprime number because it is at equal distance from previous prime (2262244727) and next prime (2262244753).

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, 27349 + ... + 72611.

It is an arithmetic number, because the mean of its divisors is an integer number (54181008).

Almost surely, 22262244740 is an apocalyptic number.

2262244740 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 2262244740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3901032576).

2262244740 is an abundant number, since it is smaller than the sum of its proper divisors (5539820412).

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

2262244740 is a wasteful number, since it uses less digits than its factorization.

2262244740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45306 (or 45297 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 2262244740 is about 47563.0606668663. The cubic root of 2262244740 is about 1312.7434570603.

The spelling of 2262244740 in words is "two billion, two hundred sixty-two million, two hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 420 476 490 510 588 595 714 735 833 980 1020 1190 1428 1470 1666 1785 2380 2499 2940 3332 3570 4165 4998 7140 8330 9996 12495 16660 24990 45263 49980 90526 135789 181052 226315 271578 316841 452630 543156 633682 678945 769471 905260 950523 1267364 1357890 1538942 1584205 1901046 2217887 2308413 2715780 3077884 3168410 3802092 3847355 4435774 4616826 4752615 5386297 6336820 6653661 7694710 8871548 9233652 9505230 10772594 11089435 11542065 13307322 15389420 16158891 19010460 21545188 22178870 23084130 26614644 26931485 32317782 33268305 37704079 44357740 46168260 53862970 64635564 66536610 75408158 80794455 107725940 113112237 133073220 150816316 161588910 188520395 226224474 323177820 377040790 452448948 565561185 754081580 1131122370 2262244740