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20233024 = 267192377
BaseRepresentation
bin100110100101…
…1101101000000
31102001221111021
41031023231000
520134424044
62001355224
7333656260
oct115135500
942057437
1020233024
111046a409
126938b14
134265506
1429897a0
151b99e84
hex134bb40

20233024 has 56 divisors (see below), whose sum is σ = 48320960. Its totient is φ = 8211456.

The previous prime is 20233019. The next prime is 20233033. The reversal of 20233024 is 42033202.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20232989 and 20233007.

It is a congruent number.

It is an unprimeable number.

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, 7324 + ... + 9700.

Almost surely, 220233024 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 20233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24160480).

20233024 is an abundant number, since it is smaller than the sum of its proper divisors (28087936).

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

20233024 is a wasteful number, since it uses less digits than its factorization.

20233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 20233024 is about 4498.1133822971. The cubic root of 20233024 is about 272.4919011144.

Adding to 20233024 its reverse (42033202), we get a palindrome (62266226).

The spelling of 20233024 in words is "twenty million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 2377 4256 4754 8512 9508 16639 19016 33278 38032 45163 66556 76064 90326 133112 152128 180652 266224 316141 361304 532448 632282 722608 1064896 1264564 1445216 2529128 2890432 5058256 10116512 20233024