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2022440 = 235731233
BaseRepresentation
bin111101101110000101000
310210202021012
413231300220
51004204230
6111203052
723122220
oct7556050
93722235
102022440
111161542
12816488
1355a714
143a9080
1529e395
hex1edc28

2022440 has 64 divisors (see below), whose sum is σ = 5391360. Its totient is φ = 668160.

The previous prime is 2022421. The next prime is 2022469. The reversal of 2022440 is 442202.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8564 + ... + 8796.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

22022440 is an apocalyptic number.

2022440 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 2022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695680).

2022440 is an abundant number, since it is smaller than the sum of its proper divisors (3368920).

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

2022440 is a wasteful number, since it uses less digits than its factorization.

2022440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2022440 is about 1422.1251702997. The cubic root of 2022440 is about 126.4615640387.

Adding to 2022440 its reverse (442202), we get a palindrome (2464642).

The spelling of 2022440 in words is "two million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 233 248 280 310 434 466 620 868 932 1085 1165 1240 1631 1736 1864 2170 2330 3262 4340 4660 6524 7223 8155 8680 9320 13048 14446 16310 28892 32620 36115 50561 57784 65240 72230 101122 144460 202244 252805 288920 404488 505610 1011220 2022440