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2204676540 = 22325116716619
BaseRepresentation
bin1000001101101000…
…1011000110111100
312200122111011122200
42003122023012330
514003344122130
61002433511500
7105430304253
oct20332130674
95618434580
102204676540
11a31534130
12516412590
132919ab141
1416cb3779a
15cd842760
hex8368b1bc

2204676540 has 144 divisors (see below), whose sum is σ = 7404808320. Its totient is φ = 526458240.

The previous prime is 2204676527. The next prime is 2204676587. The reversal of 2204676540 is 456764022.

2204676540 is a `hidden beast` number, since 2 + 2 + 0 + 46 + 76 + 540 = 666.

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 = 2204676495 and 2204676504.

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, 124351 + ... + 140969.

It is an arithmetic number, because the mean of its divisors is an integer number (51422280).

Almost surely, 22204676540 is an apocalyptic number.

2204676540 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 2204676540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702404160).

2204676540 is an abundant number, since it is smaller than the sum of its proper divisors (5200131780).

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

2204676540 is a wasteful number, since it uses less digits than its factorization.

2204676540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2204676540 is about 46953.9832176142. The cubic root of 2204676540 is about 1301.5123503839.

The spelling of 2204676540 in words is "two billion, two hundred four million, six hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 67 90 99 110 132 134 165 180 198 201 220 268 330 335 396 402 495 603 660 670 737 804 990 1005 1206 1340 1474 1980 2010 2211 2412 2948 3015 3685 4020 4422 6030 6633 7370 8844 11055 12060 13266 14740 16619 22110 26532 33165 33238 44220 49857 66330 66476 83095 99714 132660 149571 166190 182809 199428 249285 299142 332380 365618 498570 548427 598284 731236 747855 914045 997140 1096854 1113473 1495710 1645281 1828090 2193708 2226946 2742135 2991420 3290562 3340419 3656180 4453892 5484270 5567365 6581124 6680838 8226405 10021257 10968540 11134730 12248203 13361676 16452810 16702095 20042514 22269460 24496406 32905620 33404190 36744609 40085028 48992812 50106285 61241015 66808380 73489218 100212570 110233827 122482030 146978436 183723045 200425140 220467654 244964060 367446090 440935308 551169135 734892180 1102338270 2204676540