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20233840 = 2451122993
BaseRepresentation
bin100110100101…
…1111001110000
31102001222121111
41031023321300
520134440330
62001403104
7333661534
oct115137160
942058544
1020233840
111046aa90
126939494
1342659b3
142989bc4
151b9a32a
hex134be70

20233840 has 40 divisors (see below), whose sum is σ = 51322608. Its totient is φ = 7357440.

The previous prime is 20233831. The next prime is 20233847. The reversal of 20233840 is 4833202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×202338402 = 818816562291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233847) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10617 + ... + 12376.

Almost surely, 220233840 is an apocalyptic number.

20233840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20233840 is an abundant number, since it is smaller than the sum of its proper divisors (31088768).

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

20233840 is a wasteful number, since it uses less digits than its factorization.

20233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23017 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 20233840 is about 4498.2040860770. The cubic root of 20233840 is about 272.4955642742.

The spelling of 20233840 in words is "twenty million, two hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 22993 45986 91972 114965 183944 229930 252923 367888 459860 505846 919720 1011692 1264615 1839440 2023384 2529230 4046768 5058460 10116920 20233840