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2022420 = 223537911
BaseRepresentation
bin111101101110000010100
310210202020110
413231300110
51004204140
6111203020
723122161
oct7556024
93722213
102022420
111161524
12816470
1355a6ca
143a9068
1529e380
hex1edc14

2022420 has 48 divisors (see below), whose sum is σ = 5822208. Its totient is φ = 524160.

The previous prime is 2022403. The next prime is 2022421. The reversal of 2022420 is 242202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022396 and 2022405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1765 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (121296).

22022420 is an apocalyptic number.

2022420 is a gapful number since it is divisible by the number (20) 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 2022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911104).

2022420 is an abundant number, since it is smaller than the sum of its proper divisors (3799788).

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

2022420 is a wasteful number, since it uses less digits than its factorization.

2022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2022420 is about 1422.1181385525. The cubic root of 2022420 is about 126.4611471759.

Adding to 2022420 its reverse (242202), we get a palindrome (2264622).

It can be divided in two parts, 2022 and 420, that added together give a palindrome (2442).

The spelling of 2022420 in words is "two million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 911 1110 1822 2220 2733 3644 4555 5466 9110 10932 13665 18220 27330 33707 54660 67414 101121 134828 168535 202242 337070 404484 505605 674140 1011210 2022420