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20233100 = 22521923463
BaseRepresentation
bin100110100101…
…1101110001100
31102001221121002
41031023232030
520134424400
62001355432
7333656426
oct115135614
942057532
1020233100
111046a478
126938b78
134265564
142989816
151b99ed5
hex134bb8c

20233100 has 72 divisors (see below), whose sum is σ = 48330240. Its totient is φ = 7318080.

The previous prime is 20233099. The next prime is 20233127. The reversal of 20233100 is 133202.

It is a super-2 number, since 2×202331002 = 818756671220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43469 + ... + 43931.

Almost surely, 220233100 is an apocalyptic number.

20233100 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 20233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24165120).

20233100 is an abundant number, since it is smaller than the sum of its proper divisors (28097140).

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

20233100 is a wasteful number, since it uses less digits than its factorization.

20233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 20233100 is about 4498.1218302754. The cubic root of 20233100 is about 272.4922422952.

Adding to 20233100 its reverse (133202), we get a palindrome (20366302).

The spelling of 20233100 in words is "twenty million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 463 475 575 874 926 950 1150 1748 1852 1900 2185 2300 2315 4370 4630 8740 8797 9260 10649 10925 11575 17594 21298 21850 23150 35188 42596 43700 43985 46300 53245 87970 106490 175940 202331 212980 219925 266225 404662 439850 532450 809324 879700 1011655 1064900 2023310 4046620 5058275 10116550 20233100