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20234000 = 245367151
BaseRepresentation
bin100110100101…
…1111100010000
31102001222211102
41031023330100
520134442000
62001403532
7333662153
oct115137420
942058742
1020234000
1110470116
1269395a8
134265aa7
142989c9a
151b9a3d5
hex134bf10

20234000 has 80 divisors (see below), whose sum is σ = 49984896. Its totient is φ = 7920000.

The previous prime is 20233999. The next prime is 20234009. The reversal of 20234000 is 43202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20234009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133925 + ... + 134075.

Almost surely, 220234000 is an apocalyptic number.

20234000 is a gapful number since it is divisible by the number (20) 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 20234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24992448).

20234000 is an abundant number, since it is smaller than the sum of its proper divisors (29750896).

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

20234000 is a wasteful number, since it uses less digits than its factorization.

20234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20234000 is about 4498.2218709174. The cubic root of 20234000 is about 272.4962825293.

Adding to 20234000 its reverse (43202), we get a palindrome (20277202).

The spelling of 20234000 in words is "twenty million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 151 200 250 268 302 335 400 500 536 604 670 755 1000 1072 1208 1340 1510 1675 2000 2416 2680 3020 3350 3775 5360 6040 6700 7550 8375 10117 12080 13400 15100 16750 18875 20234 26800 30200 33500 37750 40468 50585 60400 67000 75500 80936 101170 134000 151000 161872 202340 252925 302000 404680 505850 809360 1011700 1264625 2023400 2529250 4046800 5058500 10117000 20234000