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20229376 = 28194159
BaseRepresentation
bin100110100101…
…0110100000000
31102001202111011
41031022310000
520134320001
62001330304
7333642526
oct115126400
942052434
1020229376
11104676a2
126936994
13426395b
142988316
151b98d51
hex134ad00

20229376 has 36 divisors (see below), whose sum is σ = 42515200. Its totient is φ = 9580032.

The previous prime is 20229367. The next prime is 20229379. The reversal of 20229376 is 67392202.

It is a super-4 number, since 4×202293764 (a number of 30 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20229379) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2785 + ... + 6943.

Almost surely, 220229376 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 20229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21257600).

20229376 is an abundant number, since it is smaller than the sum of its proper divisors (22285824).

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

20229376 is an equidigital number, since it uses as much as digits as its factorization.

20229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 20229376 is about 4497.7078606775. The cubic root of 20229376 is about 272.4755234307.

The spelling of 20229376 in words is "twenty million, two hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 4159 4864 8318 16636 33272 66544 79021 133088 158042 266176 316084 532352 632168 1064704 1264336 2528672 5057344 10114688 20229376