Search a number
-
+
20442202000 = 2453115915749
BaseRepresentation
bin10011000010011100…
…110011111110010000
31221202122121110100121
4103002130303332100
5313331200431000
613220243200024
71322401564363
oct230234637620
957678543317
1020442202000
1187400a9a20
123b66076014
131c0a1a411c
14dbcd140da
157e99b8b1a
hex4c2733f90

20442202000 has 160 divisors (see below), whose sum is σ = 54840240000. Its totient is φ = 7307072000.

The previous prime is 20442201991. The next prime is 20442202057. The reversal of 20442202000 is 20224402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1290126 + ... + 1305874.

It is an arithmetic number, because the mean of its divisors is an integer number (342751500).

Almost surely, 220442202000 is an apocalyptic number.

20442202000 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 20442202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120000).

20442202000 is an abundant number, since it is smaller than the sum of its proper divisors (34398038000).

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

20442202000 is a wasteful number, since it uses less digits than its factorization.

20442202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15826 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20442202000 its reverse (20224402), we get a palindrome (20462426402).

The spelling of 20442202000 in words is "twenty billion, four hundred forty-two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 59 80 88 100 110 118 125 176 200 220 236 250 275 295 400 440 472 500 550 590 649 880 944 1000 1100 1180 1298 1375 1475 2000 2200 2360 2596 2750 2950 3245 4400 4720 5192 5500 5900 6490 7375 10384 11000 11800 12980 14750 15749 16225 22000 23600 25960 29500 31498 32450 51920 59000 62996 64900 78745 81125 118000 125992 129800 157490 162250 173239 251984 259600 314980 324500 346478 393725 629960 649000 692956 787450 866195 929191 1259920 1298000 1385912 1574900 1732390 1858382 1968625 2771824 3149800 3464780 3716764 3937250 4330975 4645955 6299600 6929560 7433528 7874500 8661950 9291910 10221101 13859120 14867056 15749000 17323900 18583820 20442202 21654875 23229775 31498000 34647800 37167640 40884404 43309750 46459550 51105505 69295600 74335280 81768808 86619500 92919100 102211010 116148875 163537616 173239000 185838200 204422020 232297750 255527525 346478000 371676400 408844040 464595500 511055050 817688080 929191000 1022110100 1277637625 1858382000 2044220200 2555275250 4088440400 5110550500 10221101000 20442202000