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4222512 = 243275971
BaseRepresentation
bin10000000110111000110000
321221112012100
4100012320300
52040110022
6230300400
750614350
oct20067060
97845170
104222512
112424488
1214b7700
13b4ac38
147bcb60
155861ac
hex406e30

4222512 has 120 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 1169280.

The previous prime is 4222489. The next prime is 4222513. The reversal of 4222512 is 2152224.

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 (4222513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59437 + ... + 59507.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 24222512 is an apocalyptic number.

4222512 is a gapful number since it is divisible by the number (42) 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 4222512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4222512 is an abundant number, since it is smaller than the sum of its proper divisors (9705168).

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

4222512 is a wasteful number, since it uses less digits than its factorization.

4222512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 4222512 is about 2054.8751786909. The cubic root of 4222512 is about 161.6306170136.

Adding to 4222512 its reverse (2152224), we get a palindrome (6374736).

The spelling of 4222512 in words is "four million, two hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 71 72 84 112 118 126 142 144 168 177 213 236 252 284 336 354 413 426 472 497 504 531 568 639 708 826 852 944 994 1008 1062 1136 1239 1278 1416 1491 1652 1704 1988 2124 2478 2556 2832 2982 3304 3408 3717 3976 4189 4248 4473 4956 5112 5964 6608 7434 7952 8378 8496 8946 9912 10224 11928 12567 14868 16756 17892 19824 23856 25134 29323 29736 33512 35784 37701 50268 58646 59472 67024 71568 75402 87969 100536 117292 150804 175938 201072 234584 263907 301608 351876 469168 527814 603216 703752 1055628 1407504 2111256 4222512