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2218706040 = 2335172347287
BaseRepresentation
bin1000010000111110…
…1100010001111000
312201121212221111210
42010033230101320
514020442043130
61004054323120
7105660455505
oct20417542170
95647787453
102218706040
11a39446761
1251b0594a0
13294880b15
1417094a4ac
15cebb45b0
hex843ec478

2218706040 has 128 divisors (see below), whose sum is σ = 7354229760. Its totient is φ = 532629504.

The previous prime is 2218706027. The next prime is 2218706069. The reversal of 2218706040 is 406078122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2218705989 and 2218706007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23277 + ... + 70563.

It is an arithmetic number, because the mean of its divisors is an integer number (57454920).

Almost surely, 22218706040 is an apocalyptic number.

2218706040 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 2218706040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677114880).

2218706040 is an abundant number, since it is smaller than the sum of its proper divisors (5135523720).

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

2218706040 is a wasteful number, since it uses less digits than its factorization.

2218706040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47341 (or 47337 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2218706040 is about 47103.1425703211. The cubic root of 2218706040 is about 1304.2672476580.

The spelling of 2218706040 in words is "two billion, two hundred eighteen million, seven hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 46920 47287 94574 141861 189148 236435 283722 378296 472870 567444 709305 803879 945740 1087601 1134888 1418610 1607758 1891480 2175202 2411637 2837220 3215516 3262803 4019395 4350404 4823274 5438005 5674440 6431032 6525606 8038790 8700808 9646548 10876010 12058185 13051212 16077580 16314015 18489217 19293096 21752020 24116370 26102424 32155160 32628030 36978434 43504040 48232740 55467651 65256060 73956868 92446085 96465480 110935302 130512120 147913736 184892170 221870604 277338255 369784340 443741208 554676510 739568680 1109353020 2218706040