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20212192 = 2571113631
BaseRepresentation
bin100110100011…
…0100111100000
31102000212220201
41031012213200
520133242232
62001114544
7333541450
oct115064740
942025821
1020212192
11104557a0
126928a54
134258ba0
142981d60
151b93be7
hex13469e0

20212192 has 96 divisors (see below), whose sum is σ = 53512704. Its totient is φ = 7257600.

The previous prime is 20212187. The next prime is 20212223. The reversal of 20212192 is 29121202.

It is a congruent number.

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, 31717 + ... + 32347.

It is an arithmetic number, because the mean of its divisors is an integer number (557424).

Almost surely, 220212192 is an apocalyptic number.

20212192 is a gapful number since it is divisible by the number (22) 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 20212192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756352).

20212192 is an abundant number, since it is smaller than the sum of its proper divisors (33300512).

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

20212192 is a wasteful number, since it uses less digits than its factorization.

20212192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 20212192 is about 4495.7971484488. The cubic root of 20212192 is about 272.3983494272.

Adding to 20212192 its reverse (29121202), we get a palindrome (49333394).

It can be divided in two parts, 20 and 212192, that added together give a palindrome (212212).

The spelling of 20212192 in words is "twenty million, two hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 631 728 1001 1144 1232 1262 1456 2002 2288 2464 2524 2912 4004 4417 4576 5048 6941 8008 8203 8834 10096 13882 16016 16406 17668 20192 27764 32032 32812 35336 48587 55528 57421 65624 70672 90233 97174 111056 114842 131248 141344 180466 194348 222112 229684 262496 360932 388696 459368 631631 721864 777392 918736 1263262 1443728 1554784 1837472 2526524 2887456 5053048 10106096 20212192