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2200823040 = 28351344087
BaseRepresentation
bin1000001100101101…
…1110010100000000
312200101020101122110
42003023132110000
514001402314130
61002215135320
7105352454463
oct20313362400
95611211573
102200823040
11a2a341a19
12515074540
13290c5c170
1416c4132da
15cd330ab0
hex832de500

2200823040 has 144 divisors (see below), whose sum is σ = 7569733248. Its totient is φ = 541728768.

The previous prime is 2200823003. The next prime is 2200823041. The reversal of 2200823040 is 403280022.

It is a junction number, because it is equal to n+sod(n) for n = 2200822998 and 2200823016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200823041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27877 + ... + 71963.

It is an arithmetic number, because the mean of its divisors is an integer number (52567592).

Almost surely, 22200823040 is an apocalyptic number.

2200823040 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 2200823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784866624).

2200823040 is an abundant number, since it is smaller than the sum of its proper divisors (5368910208).

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

2200823040 is a wasteful number, since it uses less digits than its factorization.

2200823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44124 (or 44110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2200823040 is about 46912.9304136930. The cubic root of 2200823040 is about 1300.7536143249.

The spelling of 2200823040 in words is "two billion, two hundred million, eight hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 44087 49920 88174 132261 176348 220435 264522 352696 440870 529044 573131 661305 705392 881740 1058088 1146262 1322610 1410784 1719393 1763480 2116176 2292524 2645220 2821568 2865655 3438786 3526960 4232352 4585048 5290440 5643136 5731310 6877572 7053920 8464704 8596965 9170096 10580880 11286272 11462620 13755144 14107840 16929408 17193930 18340192 21161760 22925240 27510288 28215680 33858816 34387860 36680384 42323520 45850480 55020576 56431360 68775720 73360768 84647040 91700960 110041152 137551440 146721536 169294080 183401920 220082304 275102880 366803840 440164608 550205760 733607680 1100411520 2200823040