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20332242 = 2337192149
BaseRepresentation
bin100110110001…
…1111011010010
31102020222121000
41031203323102
520201112432
62003442430
7334551450
oct115437322
942228530
1020332242
1110527a07
126986416
13429b718
1429b39d0
151bb957c
hex1363ed2

20332242 has 96 divisors (see below), whose sum is σ = 54864000. Its totient is φ = 5466528.

The previous prime is 20332241. The next prime is 20332243. The reversal of 20332242 is 24223302.

It is an interprime number because it is at equal distance from previous prime (20332241) and next prime (20332243).

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

It is not an unprimeable number, because it can be changed into a prime (20332241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136384 + ... + 136532.

It is an arithmetic number, because the mean of its divisors is an integer number (571500).

Almost surely, 220332242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27432000).

20332242 is an abundant number, since it is smaller than the sum of its proper divisors (34531758).

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

20332242 is a wasteful number, since it uses less digits than its factorization.

20332242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20332242 is about 4509.1287406771. The cubic root of 20332242 is about 272.9365871312.

Adding to 20332242 its reverse (24223302), we get a palindrome (44555544).

The spelling of 20332242 in words is "twenty million, three hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 149 171 189 266 298 342 361 378 399 447 513 722 798 894 1026 1043 1083 1197 1341 2086 2166 2394 2527 2682 2831 3129 3249 3591 4023 5054 5662 6258 6498 7182 7581 8046 8493 9387 9747 15162 16986 18774 19494 19817 22743 25479 28161 39634 45486 50958 53789 56322 59451 68229 76437 107578 118902 136458 152874 161367 178353 322734 356706 376523 484101 535059 753046 968202 1070118 1129569 1452303 2259138 2904606 3388707 6777414 10166121 20332242