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2022142104 = 233327733797
BaseRepresentation
bin111100010000111…
…0111000010011000
312012221000110111000
41320201313002120
513120132021404
6532353305000
7101052632013
oct17041670230
95187013430
102022142104
119484a0324
12485265160
13262c2a7b8
141527c037a
15bc7d8339
hex78877098

2022142104 has 64 divisors (see below), whose sum is σ = 5637506400. Its totient is φ = 671594112.

The previous prime is 2022142103. The next prime is 2022142117. The reversal of 2022142104 is 4012412202.

2022142104 is a `hidden beast` number, since 20 + 221 + 421 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022142103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42934 + ... + 76730.

Almost surely, 22022142104 is an apocalyptic number.

2022142104 is a gapful number since it is divisible by the number (24) 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 2022142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818753200).

2022142104 is an abundant number, since it is smaller than the sum of its proper divisors (3615364296).

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

2022142104 is a wasteful number, since it uses less digits than its factorization.

2022142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34089 (or 34079 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2022142104 is about 44968.2343882879. The cubic root of 2022142104 is about 1264.5535466715.

Adding to 2022142104 its reverse (4012412202), we get a palindrome (6034554306).

The spelling of 2022142104 in words is "two billion, twenty-two million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 277 554 831 1108 1662 2216 2493 3324 4986 6648 7479 9972 14958 19944 29916 33797 59832 67594 101391 135188 202782 270376 304173 405564 608346 811128 912519 1216692 1825038 2433384 3650076 7300152 9361769 18723538 28085307 37447076 56170614 74894152 84255921 112341228 168511842 224682456 252767763 337023684 505535526 674047368 1011071052 2022142104