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20233872 = 2432227619
BaseRepresentation
bin100110100101…
…1111010010000
31102001222122200
41031023322100
520134440442
62001403200
7333661611
oct115137220
942058580
1020233872
111047000a
126939500
134265a09
142989c08
151b9a34c
hex134be90

20233872 has 60 divisors (see below), whose sum is σ = 56968080. Its totient is φ = 6704064.

The previous prime is 20233861. The next prime is 20233877. The reversal of 20233872 is 27833202.

It is a super-2 number, since 2×202338722 = 818819152224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20233877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32379 + ... + 32997.

It is an arithmetic number, because the mean of its divisors is an integer number (949468).

Almost surely, 220233872 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 20233872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28484040).

20233872 is an abundant number, since it is smaller than the sum of its proper divisors (36734208).

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

20233872 is a wasteful number, since it uses less digits than its factorization.

20233872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 20233872 is about 4498.2076430507. The cubic root of 20233872 is about 272.4957079256.

The spelling of 20233872 in words is "twenty million, two hundred thirty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 619 681 908 1238 1362 1816 1857 2043 2476 2724 3632 3714 4086 4952 5448 5571 7428 8172 9904 10896 11142 14856 16344 22284 29712 32688 44568 89136 140513 281026 421539 562052 843078 1124104 1264617 1686156 2248208 2529234 3372312 5058468 6744624 10116936 20233872