Search a number
-
+
2022001164 = 2233311733491
BaseRepresentation
bin111100010000101…
…0100101000001100
312012220202022011000
41320201110220030
513120113014124
6532350300300
7101051504061
oct17041245014
95186668130
102022001164
11948404447
124851b7690
13262bab5c1
14152784c68
15bc7ab6c9
hex78854a0c

2022001164 has 96 divisors (see below), whose sum is σ = 5444167680. Its totient is φ = 648302400.

The previous prime is 2022001159. The next prime is 2022001171. The reversal of 2022001164 is 4611002202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577459 + ... + 580949.

It is an arithmetic number, because the mean of its divisors is an integer number (56710080).

Almost surely, 22022001164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022001164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722083840).

2022001164 is an abundant number, since it is smaller than the sum of its proper divisors (3422166516).

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

2022001164 is a wasteful number, since it uses less digits than its factorization.

2022001164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2022001164 is about 44966.6672547566. The cubic root of 2022001164 is about 1264.5241668837.

Adding to 2022001164 its reverse (4611002202), we get a palindrome (6633003366).

The spelling of 2022001164 in words is "two billion, twenty-two million, one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 173 186 279 346 372 519 558 692 837 1038 1116 1557 1674 2076 3114 3348 3491 4671 5363 6228 6982 9342 10473 10726 13964 16089 18684 20946 21452 31419 32178 41892 48267 62838 64356 94257 96534 108221 125676 144801 188514 193068 216442 289602 324663 377028 432884 579204 603943 649326 973989 1207886 1298652 1811829 1947978 2415772 2921967 3623658 3895956 5435487 5843934 7247316 10870974 11687868 16306461 18722233 21741948 32612922 37444466 56166699 65225844 74888932 112333398 168500097 224666796 337000194 505500291 674000388 1011000582 2022001164