Search a number
-
+
2112112240 = 245716072347
BaseRepresentation
bin111110111100100…
…0100011001110000
312110012022102022021
41331321010121300
513311200042430
6545325521224
7103224441430
oct17571043160
95405272267
102112112240
11994261207
124ab413214
1327876bc74
141607202c0
15c565b07a
hex7de44670

2112112240 has 80 divisors (see below), whose sum is σ = 5618068992. Its totient is φ = 723393792.

The previous prime is 2112112237. The next prime is 2112112259. The reversal of 2112112240 is 422112112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×21121122402 = 8922036228715635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898747 + ... + 901093.

Almost surely, 22112112240 is an apocalyptic number.

2112112240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112112240 is an abundant number, since it is smaller than the sum of its proper divisors (3505956752).

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

2112112240 is a wasteful number, since it uses less digits than its factorization.

2112112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2112112240 is about 45957.7223108369. The cubic root of 2112112240 is about 1283.0364597304.

Adding to 2112112240 its reverse (422112112), we get a palindrome (2534224352).

The spelling of 2112112240 in words is "two billion, one hundred twelve million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1607 2347 3214 4694 6428 8035 9388 11249 11735 12856 16070 16429 18776 22498 23470 25712 32140 32858 37552 44996 46940 56245 64280 65716 82145 89992 93880 112490 128560 131432 164290 179984 187760 224980 262864 328580 449960 657160 899920 1314320 3771629 7543258 15086516 18858145 26401403 30173032 37716290 52802806 60346064 75432580 105605612 132007015 150865160 211211224 264014030 301730320 422422448 528028060 1056056120 2112112240