Search a number
-
+
20021223210 = 23519312235081
BaseRepresentation
bin10010101001010110…
…111001111100101010
31220200022110112000120
4102221112321330222
5312000413120320
613110404144110
71306100406102
oct225126717452
956608415016
1020021223210
11854450536a
123a69098036
131b70bc8a51
14d7d04c202
157c2a5e440
hex4a95b9f2a

20021223210 has 128 divisors (see below), whose sum is σ = 52455997440. Its totient is φ = 4871923200.

The previous prime is 20021223193. The next prime is 20021223239. The reversal of 20021223210 is 1232212002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20021223210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3937870 + ... + 3942950.

It is an arithmetic number, because the mean of its divisors is an integer number (409812480).

Almost surely, 220021223210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20021223210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26227998720).

20021223210 is an abundant number, since it is smaller than the sum of its proper divisors (32434774230).

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

20021223210 is a wasteful number, since it uses less digits than its factorization.

20021223210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20021223210 its reverse (1232212002), we get a palindrome (21253435212).

The spelling of 20021223210 in words is "twenty billion, twenty-one million, two hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 223 285 310 446 465 570 589 669 930 1115 1178 1338 1767 2230 2945 3345 3534 4237 5081 5890 6690 6913 8474 8835 10162 12711 13826 15243 17670 20739 21185 25405 25422 30486 34565 41478 42370 50810 63555 69130 76215 96539 103695 127110 131347 152430 157511 193078 207390 262694 289617 315022 394041 472533 482695 579234 656735 787555 788082 945066 965390 1133063 1313470 1448085 1575110 1970205 2266126 2362665 2896170 2992709 3399189 3940410 4725330 5665315 5985418 6798378 8978127 11330630 14963545 16995945 17956254 21528197 29927090 33991890 35124953 43056394 44890635 64584591 70249906 89781270 105374859 107640985 129169182 175624765 210749718 215281970 322922955 351249530 526874295 645845910 667374107 1053748590 1334748214 2002122321 3336870535 4004244642 6673741070 10010611605 20021223210