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20234112 = 273232979
BaseRepresentation
bin100110100101…
…1111110000000
31102001222222120
41031023332000
520134442422
62001404240
7333662403
oct115137600
942058876
1020234112
1110470208
126939680
134265b62
142989d3a
151b9a45c
hex134bf80

20234112 has 128 divisors (see below), whose sum is σ = 58752000. Its totient is φ = 6150144.

The previous prime is 20234101. The next prime is 20234113. The reversal of 20234112 is 21143202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20234091 and 20234100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20234113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256089 + ... + 256167.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 220234112 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 20234112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376000).

20234112 is an abundant number, since it is smaller than the sum of its proper divisors (38517888).

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

20234112 is a wasteful number, since it uses less digits than its factorization.

20234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20234112 is about 4498.2343202639. The cubic root of 20234112 is about 272.4967853056.

Adding to 20234112 its reverse (21143202), we get a palindrome (41377314).

The spelling of 20234112 in words is "twenty million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 79 87 92 96 116 128 138 158 174 184 192 232 237 276 316 348 368 384 464 474 552 632 667 696 736 928 948 1104 1264 1334 1392 1472 1817 1856 1896 2001 2208 2291 2528 2668 2784 2944 3634 3712 3792 4002 4416 4582 5056 5336 5451 5568 6873 7268 7584 8004 8832 9164 10112 10672 10902 11136 13746 14536 15168 16008 18328 21344 21804 27492 29072 30336 32016 36656 42688 43608 52693 54984 58144 64032 73312 85376 87216 105386 109968 116288 128064 146624 158079 174432 210772 219936 232576 256128 293248 316158 348864 421544 439872 632316 697728 843088 879744 1264632 1686176 2529264 3372352 5058528 6744704 10117056 20234112