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2114200242 = 23271112712011
BaseRepresentation
bin111111000000100…
…0010001010110010
312110100020111111200
41332001002022302
513312213401432
6545442352030
7103251256050
oct17601021262
95410214450
102114200242
11995457a30
124b005b616
1327902047b
14160b051d0
15c591ea7c
hex7e0422b2

2114200242 has 96 divisors (see below), whose sum is σ = 5756534784. Its totient is φ = 544773600.

The previous prime is 2114200237. The next prime is 2114200259. The reversal of 2114200242 is 2420024112.

2114200242 is a `hidden beast` number, since 2 + 1 + 1 + 420 + 0 + 242 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170017 + ... + 182027.

It is an arithmetic number, because the mean of its divisors is an integer number (59963904).

Almost surely, 22114200242 is an apocalyptic number.

2114200242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114200242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878267392).

2114200242 is an abundant number, since it is smaller than the sum of its proper divisors (3642334542).

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

2114200242 is a wasteful number, since it uses less digits than its factorization.

2114200242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12161 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2114200242 is about 45980.4332515473. The cubic root of 2114200242 is about 1283.4591172526.

Adding to 2114200242 its reverse (2420024112), we get a palindrome (4534224354).

The spelling of 2114200242 in words is "two billion, one hundred fourteen million, two hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 127 154 198 231 254 381 462 693 762 889 1143 1386 1397 1778 2286 2667 2794 4191 5334 8001 8382 9779 12011 12573 16002 19558 24022 25146 29337 36033 58674 72066 84077 88011 108099 132121 168154 176022 216198 252231 264242 396363 504462 756693 792726 924847 1189089 1513386 1525397 1849694 2378178 2774541 3050794 4576191 5549082 8323623 9152382 10677779 13728573 16647246 16779367 21355558 27457146 32033337 33558734 50338101 64066674 96100011 100676202 117455569 151014303 192200022 234911138 302028606 352366707 704733414 1057100121 2114200242