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20212344 = 2332412167
BaseRepresentation
bin100110100011…
…0101001111000
31102000220010100
41031012221320
520133243334
62001115400
7333542055
oct115065170
942026110
1020212344
1110455919
126928b60
134258c89
14298202c
151b93c99
hex1346a78

20212344 has 72 divisors (see below), whose sum is σ = 56445480. Its totient is φ = 6533760.

The previous prime is 20212327. The next prime is 20212373. The reversal of 20212344 is 44321202.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120949 + ... + 121115.

It is an arithmetic number, because the mean of its divisors is an integer number (783965).

Almost surely, 220212344 is an apocalyptic number.

20212344 is a gapful number since it is divisible by the number (24) 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 20212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28222740).

20212344 is an abundant number, since it is smaller than the sum of its proper divisors (36233136).

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

20212344 is a wasteful number, since it uses less digits than its factorization.

20212344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20212344 is about 4495.8140530943. The cubic root of 20212344 is about 272.3990322567.

Adding to 20212344 its reverse (44321202), we get a palindrome (64533546).

The spelling of 20212344 in words is "twenty million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 167 246 328 334 369 492 501 668 738 984 1002 1336 1476 1503 1681 2004 2952 3006 3362 4008 5043 6012 6724 6847 10086 12024 13448 13694 15129 20172 20541 27388 30258 40344 41082 54776 60516 61623 82164 121032 123246 164328 246492 280727 492984 561454 842181 1122908 1684362 2245816 2526543 3368724 5053086 6737448 10106172 20212344