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200260220040 = 23325641867829
BaseRepresentation
bin1011101010000001110…
…0000111010010001000
3201010220110221020021200
42322200130013102020
511240113104020130
6231555343304200
720316430533006
oct2724034072210
9633813836250
10200260220040
1177a25745391
123298a8ab060
1315b661cc62a
14999a89ba76
155321226760
hex2ea0707488

200260220040 has 96 divisors (see below), whose sum is σ = 651861826200. Its totient is φ = 53319352320.

The previous prime is 200260219993. The next prime is 200260220087. The reversal of 200260220040 is 40022062002.

It is a happy number.

200260220040 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 602 + 20 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (200260219993) and next prime (200260220087).

It can be written as a sum of positive squares in 4 ways, for example, as 181828899396 + 18431320644 = 426414^2 + 135762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200260219995 and 200260220022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203155 + ... + 664674.

Almost surely, 2200260220040 is an apocalyptic number.

200260220040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200260220040 is an abundant number, since it is smaller than the sum of its proper divisors (451601606160).

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

200260220040 is a wasteful number, since it uses less digits than its factorization.

200260220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868487 (or 868480 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200260220040 its reverse (40022062002), we get a palindrome (240282282042).

The spelling of 200260220040 in words is "two hundred billion, two hundred sixty million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 641 1282 1923 2564 3205 3846 5128 5769 6410 7692 9615 11538 12820 15384 19230 23076 25640 28845 38460 46152 57690 76920 115380 230760 867829 1735658 2603487 3471316 4339145 5206974 6942632 7810461 8678290 10413948 13017435 15620922 17356580 20827896 26034870 31241844 34713160 39052305 52069740 62483688 78104610 104139480 156209220 312418440 556278389 1112556778 1668835167 2225113556 2781391945 3337670334 4450227112 5006505501 5562783890 6675340668 8344175835 10013011002 11125567780 13350681336 16688351670 20026022004 22251135560 25032527505 33376703340 40052044008 50065055010 66753406680 100130110020 200260220040