Search a number
-
+
2022002010 = 232578338669
BaseRepresentation
bin111100010000101…
…0100110101011010
312012220202100022100
41320201110311122
513120113031020
6532350304230
7101051506410
oct17041246532
95186670270
102022002010
11948405046
124851b8076
13262babac2
141527852b0
15bc7aba90
hex78854d5a

2022002010 has 96 divisors (see below), whose sum is σ = 6080780160. Its totient is φ = 456591744.

The previous prime is 2022001973. The next prime is 2022002033. The reversal of 2022002010 is 102002202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2022001983 and 2022002001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32956 + ... + 71624.

It is an arithmetic number, because the mean of its divisors is an integer number (63341460).

Almost surely, 22022002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040390080).

2022002010 is an abundant number, since it is smaller than the sum of its proper divisors (4058778150).

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

2022002010 is a wasteful number, since it uses less digits than its factorization.

2022002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38772 (or 38769 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2022002010 is about 44966.6766617236. The cubic root of 2022002010 is about 1264.5243432416.

Adding to 2022002010 its reverse (102002202), we get a palindrome (2124004212).

The spelling of 2022002010 in words is "two billion, twenty-two million, two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1162 1245 1494 1743 2490 2905 3486 3735 5229 5810 7470 8715 10458 17430 26145 38669 52290 77338 116007 193345 232014 270683 348021 386690 541366 580035 696042 812049 1160070 1353415 1624098 1740105 2436147 2706830 3209527 3480210 4060245 4872294 6419054 8120490 9628581 12180735 16047635 19257162 22466689 24361470 28885743 32095270 44933378 48142905 57771486 67400067 96285810 112333445 134800134 144428715 202200201 224666890 288857430 337000335 404400402 674000670 1011001005 2022002010