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4222440 = 2332537317
BaseRepresentation
bin10000000110110111101000
321221112002200
4100012313220
52040104230
6230300200
750614215
oct20066750
97845080
104222440
112424422
1214b7660
13b4abb1
147bcb0c
15586160
hex406de8

4222440 has 96 divisors (see below), whose sum is σ = 14138280. Its totient is φ = 1092096.

The previous prime is 4222399. The next prime is 4222483. The reversal of 4222440 is 442224.

4222440 is a `hidden beast` number, since 4 + 222 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 1004004 = 1794^2 + 1002^2 .

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 23 ways as a sum of consecutive naturals, for example, 13162 + ... + 13478.

Almost surely, 24222440 is an apocalyptic number.

4222440 is a gapful number since it is divisible by the number (40) 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 4222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069140).

4222440 is an abundant number, since it is smaller than the sum of its proper divisors (9915840).

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

4222440 is a wasteful number, since it uses less digits than its factorization.

4222440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4222440 is about 2054.8576593039. The cubic root of 4222440 is about 161.6296983290.

Adding to 4222440 its reverse (442224), we get a palindrome (4664664).

The spelling of 4222440 in words is "four million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 317 333 360 370 444 555 634 666 740 888 951 1110 1268 1332 1480 1585 1665 1902 2220 2536 2664 2853 3170 3330 3804 4440 4755 5706 6340 6660 7608 9510 11412 11729 12680 13320 14265 19020 22824 23458 28530 35187 38040 46916 57060 58645 70374 93832 105561 114120 117290 140748 175935 211122 234580 281496 351870 422244 469160 527805 703740 844488 1055610 1407480 2111220 4222440