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20232192 = 21133789
BaseRepresentation
bin100110100101…
…1100000000000
31102001220100110
41031023200000
520134412232
62001351320
7333653661
oct115134000
942056313
1020232192
1110469822
126938540
134265016
142989368
151b99acc
hex134b800

20232192 has 96 divisors (see below), whose sum is σ = 56019600. Its totient is φ = 6488064.

The previous prime is 20232151. The next prime is 20232197. The reversal of 20232192 is 29123202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227284 + ... + 227372.

Almost surely, 220232192 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 20232192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009800).

20232192 is an abundant number, since it is smaller than the sum of its proper divisors (35787408).

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

20232192 is an equidigital number, since it uses as much as digits as its factorization.

20232192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20232192 is about 4498.0208981284. The cubic root of 20232192 is about 272.4881660265.

Adding to 20232192 its reverse (29123202), we get a palindrome (49355394).

The spelling of 20232192 in words is "twenty million, two hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 89 96 111 128 148 178 192 222 256 267 296 356 384 444 512 534 592 712 768 888 1024 1068 1184 1424 1536 1776 2048 2136 2368 2848 3072 3293 3552 4272 4736 5696 6144 6586 7104 8544 9472 9879 11392 13172 14208 17088 18944 19758 22784 26344 28416 34176 37888 39516 45568 52688 56832 68352 75776 79032 91136 105376 113664 136704 158064 182272 210752 227328 273408 316128 421504 546816 632256 843008 1264512 1686016 2529024 3372032 5058048 6744064 10116096 20232192