Search a number
-
+
29030220800 = 210527161999
BaseRepresentation
bin11011000010010101…
…100000010000000000
32202221011111000101222
4123002111200100000
5433423214031200
621200350214212
72045252543150
oct330225402000
982834430358
1029030220800
1111347891619
1257621b4368
1329784a9559
141595726760
15b4d916d85
hex6c2560400

29030220800 has 132 divisors (see below), whose sum is σ = 82240272000. Its totient is φ = 9953157120.

The previous prime is 29030220797. The next prime is 29030220803. The reversal of 29030220800 is 802203092.

It is an interprime number because it is at equal distance from previous prime (29030220797) and next prime (29030220803).

It is a self number, because there is not a number n which added to its sum of digits gives 29030220800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29030220803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98201 + ... + 260199.

Almost surely, 229030220800 is an apocalyptic number.

29030220800 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 29030220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41120136000).

29030220800 is an abundant number, since it is smaller than the sum of its proper divisors (53210051200).

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

29030220800 is a wasteful number, since it uses less digits than its factorization.

29030220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162036 (or 162013 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 29030220800 its reverse (802203092), we get a palindrome (29832423892).

The spelling of 29030220800 in words is "twenty-nine billion, thirty million, two hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 11200 12800 17920 22400 25600 35840 44800 89600 161999 179200 323998 647996 809995 1133993 1295992 1619990 2267986 2591984 3239980 4049975 4535972 5183968 5669965 6479960 8099950 9071944 10367936 11339930 12959920 16199900 18143888 20735872 22679860 25919840 28349825 32399800 36287776 41471744 45359720 51839680 56699650 64799600 72575552 82943488 90719440 103679360 113399300 129599200 145151104 165886976 181438880 207358720 226798600 259198400 290302208 362877760 414717440 453597200 518396800 580604416 725755520 829434880 907194400 1036793600 1161208832 1451511040 1814388800 2073587200 2903022080 3628777600 4147174400 5806044160 7257555200 14515110400 29030220800