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20235168 = 2532174133
BaseRepresentation
bin100110100110…
…0001110100000
31102002001102200
41031030032200
520140011133
62001413200
7333665442
oct115141640
942061380
1020235168
1110470a88
12693a200
134266495
14298a492
151b9a913
hex134c3a0

20235168 has 72 divisors (see below), whose sum is σ = 60943428. Its totient is φ = 6346752.

The previous prime is 20235167. The next prime is 20235169. The reversal of 20235168 is 86153202.

It is an interprime number because it is at equal distance from previous prime (20235167) and next prime (20235169).

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 1468944 = 4332^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20235161) 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, 2830 + ... + 6962.

Almost surely, 220235168 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 20235168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30471714).

20235168 is an abundant number, since it is smaller than the sum of its proper divisors (40708260).

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

20235168 is a wasteful number, since it uses less digits than its factorization.

20235168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20235168 is about 4498.3516981223. The cubic root of 20235168 is about 272.5015256767.

The spelling of 20235168 in words is "twenty million, two hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4133 4896 8266 12399 16532 24798 33064 37197 49596 66128 70261 74394 99192 132256 140522 148788 198384 210783 281044 297576 396768 421566 562088 595152 632349 843132 1124176 1190304 1264698 1686264 2248352 2529396 3372528 5058792 6745056 10117584 20235168