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20212434 = 23211313789
BaseRepresentation
bin100110100011…
…0101011010010
31102000220020200
41031012223102
520133244214
62001120030
7333542244
oct115065322
942026220
1020212434
11104559a0
126929016
134259028
142982094
151b93d09
hex1346ad2

20212434 has 96 divisors (see below), whose sum is σ = 51217920. Its totient is φ = 5702400.

The previous prime is 20212421. The next prime is 20212453. The reversal of 20212434 is 43421202.

20212434 is a `hidden beast` number, since 20 + 212 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227062 + ... + 227150.

It is an arithmetic number, because the mean of its divisors is an integer number (533520).

Almost surely, 220212434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608960).

20212434 is an abundant number, since it is smaller than the sum of its proper divisors (31005486).

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

20212434 is a wasteful number, since it uses less digits than its factorization.

20212434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20212434 is about 4495.8240623939. The cubic root of 20212434 is about 272.3994365621.

Adding to 20212434 its reverse (43421202), we get a palindrome (63633636).

The spelling of 20212434 in words is "twenty million, two hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 37 62 66 74 89 93 99 111 178 186 198 222 267 279 333 341 407 534 558 666 682 801 814 979 1023 1147 1221 1602 1958 2046 2294 2442 2759 2937 3069 3293 3441 3663 5518 5874 6138 6586 6882 7326 8277 8811 9879 10323 12617 16554 17622 19758 20646 24831 25234 29637 30349 36223 37851 49662 59274 60698 72446 75702 91047 102083 108669 113553 182094 204166 217338 227106 273141 306249 326007 546282 612498 652014 918747 1122913 1837494 2245826 3368739 6737478 10106217 20212434