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2443300020 = 2232579719991
BaseRepresentation
bin1001000110100001…
…1100110010110100
320022021111111112100
42101220130302310
520000441100040
61042240222100
7114355464450
oct22150346264
96267444470
102443300020
1110441a7517
1258230a930
132cc269575
141926d1660
15e477ab30
hex91a1ccb4

2443300020 has 144 divisors (see below), whose sum is σ = 8557855488. Its totient is φ = 552683520.

The previous prime is 2443300009. The next prime is 2443300021. The reversal of 2443300020 is 200033442.

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 = 2443299966 and 2443300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443300021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112225 + ... + 132215.

It is an arithmetic number, because the mean of its divisors is an integer number (59429552).

Almost surely, 22443300020 is an apocalyptic number.

2443300020 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 2443300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278927744).

2443300020 is an abundant number, since it is smaller than the sum of its proper divisors (6114555468).

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

2443300020 is a wasteful number, since it uses less digits than its factorization.

2443300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20110 (or 20105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2443300020 is about 49429.7483303324. The cubic root of 2443300020 is about 1346.8697516102.

Adding to 2443300020 its reverse (200033442), we get a palindrome (2643333462).

The spelling of 2443300020 in words is "two billion, four hundred forty-three million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5820 6111 6790 8148 8730 10185 12222 13580 17460 19991 20370 24444 30555 39982 40740 59973 61110 79964 99955 119946 122220 139937 179919 199910 239892 279874 299865 359838 399820 419811 559748 599730 699685 719676 839622 899595 1199460 1259433 1399370 1679244 1799190 1939127 2099055 2518866 2798740 3598380 3878254 4198110 5037732 5817381 6297165 7756508 8396220 9695635 11634762 12594330 13573889 17452143 19391270 23269524 25188660 27147778 29086905 34904286 38782540 40721667 54295556 58173810 67869445 69808572 81443334 87260715 116347620 122165001 135738890 162886668 174521430 203608335 244330002 271477780 349042860 407216670 488660004 610825005 814433340 1221650010 2443300020