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2022032012 = 22711133491447
BaseRepresentation
bin111100010000101…
…1100001010001100
312012220210212110112
41320201130022030
513120120011022
6532351055152
7101051663030
oct17041341214
95186725415
102022032012
11948425640
124852114b8
13262bbc660
141527921c0
15bc7b58e2
hex7885c28c

2022032012 has 96 divisors (see below), whose sum is σ = 4767974400. Its totient is φ = 724619520.

The previous prime is 2022031997. The next prime is 2022032039. The reversal of 2022032012 is 2102302202.

It is a super-2 number, since 2×20220320122 = 8177226915105536288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396673 + ... + 1398119.

It is an arithmetic number, because the mean of its divisors is an integer number (49666400).

Almost surely, 22022032012 is an apocalyptic number.

2022032012 is a gapful number since it is divisible by the number (22) 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 2022032012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383987200).

2022032012 is an abundant number, since it is smaller than the sum of its proper divisors (2745942388).

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

2022032012 is a wasteful number, since it uses less digits than its factorization.

2022032012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2022032012 is about 44967.0102630806. The cubic root of 2022032012 is about 1264.5305974510.

Adding to 2022032012 its reverse (2102302202), we get a palindrome (4124334214).

The spelling of 2022032012 in words is "two billion, twenty-two million, thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 349 364 572 698 1001 1396 1447 2002 2443 2894 3839 4004 4537 4886 5788 7678 9074 9772 10129 15356 15917 18148 18811 20258 26873 31759 31834 37622 40516 49907 53746 63518 63668 75244 99814 107492 111419 127036 131677 199628 206921 222838 263354 349349 413842 445676 505003 526708 698698 827684 1010006 1397396 1448447 2020012 2896894 3535021 5555033 5793788 6565039 7070042 11110066 13130078 14140084 22220132 26260156 38885231 45955273 72215429 77770462 91910546 144430858 155540924 183821092 288861716 505508003 1011016006 2022032012