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20233472 = 28721613
BaseRepresentation
bin100110100101…
…1110100000000
31102001222002212
41031023310000
520134432342
62001401252
7333660500
oct115136400
942058085
1020233472
111046a786
126939228
13426578c
142989a00
151b9a182
hex134bd00

20233472 has 54 divisors (see below), whose sum is σ = 47010978. Its totient is φ = 8666112.

The previous prime is 20233471. The next prime is 20233481. The reversal of 20233472 is 27433202.

It can be written as a sum of positive squares in only one way, i.e., 18113536 + 2119936 = 4256^2 + 1456^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233471) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11738 + ... + 13350.

Almost surely, 220233472 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 20233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23505489).

20233472 is an abundant number, since it is smaller than the sum of its proper divisors (26777506).

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

20233472 is an equidigital number, since it uses as much as digits as its factorization.

20233472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 20233472 is about 4498.1631806772. The cubic root of 20233472 is about 272.4939122732.

Adding to 20233472 its reverse (27433202), we get a palindrome (47666674).

The spelling of 20233472 in words is "twenty million, two hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1613 1792 3136 3226 6272 6452 11291 12544 12904 22582 25808 45164 51616 79037 90328 103232 158074 180656 206464 316148 361312 412928 632296 722624 1264592 1445248 2529184 2890496 5058368 10116736 20233472