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20225352 = 2337131919
BaseRepresentation
bin100110100100…
…1110101001000
31102001112222010
41031021311020
520134202402
62001255520
7333625020
oct115116510
942045863
1020225352
1110464674
1269345a0
134261b84
142986a80
151b97a6c
hex1349d48

20225352 has 64 divisors (see below), whose sum is σ = 58291200. Its totient is φ = 5728320.

The previous prime is 20225327. The next prime is 20225353. The reversal of 20225352 is 25352202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20225353) 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, 21549 + ... + 22467.

It is an arithmetic number, because the mean of its divisors is an integer number (910800).

Almost surely, 220225352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29145600).

20225352 is an abundant number, since it is smaller than the sum of its proper divisors (38065848).

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

20225352 is a wasteful number, since it uses less digits than its factorization.

20225352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 20225352 is about 4497.2604994596. The cubic root of 20225352 is about 272.4574554123.

Adding to 20225352 its reverse (25352202), we get a palindrome (45577554).

The spelling of 20225352 in words is "twenty million, two hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 919 1048 1572 1834 1838 2751 2757 3144 3668 3676 5502 5514 6433 7336 7352 11004 11028 12866 19299 22008 22056 25732 38598 51464 77196 120389 154392 240778 361167 481556 722334 842723 963112 1444668 1685446 2528169 2889336 3370892 5056338 6741784 10112676 20225352