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20274224 = 2423371489
BaseRepresentation
bin100110101010…
…1110000110000
31102011001000012
41031111300300
520142233344
62002314052
7334220345
oct115256060
942131005
1020274224
1110498363
126958928
13427b1a9
14299a7cc
151ba729e
hex1355c30

20274224 has 40 divisors (see below), whose sum is σ = 42125280. Its totient is φ = 9427968.

The previous prime is 20274223. The next prime is 20274259. The reversal of 20274224 is 42247202.

It is a happy number.

It is a super-2 number, since 2×202742242 = 822088317604352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 20274224.

It is not an unprimeable number, because it can be changed into a prime (20274223) 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 7 ways as a sum of consecutive naturals, for example, 12872 + ... + 14360.

It is an arithmetic number, because the mean of its divisors is an integer number (1053132).

Almost surely, 220274224 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 20274224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062640).

20274224 is an abundant number, since it is smaller than the sum of its proper divisors (21851056).

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

20274224 is a wasteful number, since it uses less digits than its factorization.

20274224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 20274224 is about 4502.6907510954. The cubic root of 20274224 is about 272.6767318601.

The spelling of 20274224 in words is "twenty million, two hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 592 851 1489 1702 2978 3404 5956 6808 11912 13616 23824 34247 55093 68494 110186 136988 220372 273976 440744 547952 881488 1267139 2534278 5068556 10137112 20274224