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2124234420 = 2235711459791
BaseRepresentation
bin111111010011101…
…0011111010110100
312111001010021210220
41332213103322310
513322301000140
6550441414340
7103432460160
oct17647237264
95431107726
102124234420
119a0090840
124b349a3b0
1327b124759
14162197ca0
15c6752bd0
hex7e9d3eb4

2124234420 has 96 divisors (see below), whose sum is σ = 7415525376. Its totient is φ = 441398400.

The previous prime is 2124234389. The next prime is 2124234433. The reversal of 2124234420 is 244324212.

It is a super-3 number, since 3×21242344203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225276 + ... + 234515.

It is an arithmetic number, because the mean of its divisors is an integer number (77245056).

Almost surely, 22124234420 is an apocalyptic number.

2124234420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124234420 is an abundant number, since it is smaller than the sum of its proper divisors (5291290956).

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

2124234420 is a wasteful number, since it uses less digits than its factorization.

2124234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459821 (or 459819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2124234420 is about 46089.4176574189. The cubic root of 2124234420 is about 1285.4863829206.

Adding to 2124234420 its reverse (244324212), we get a palindrome (2368558632).

The spelling of 2124234420 in words is "two billion, one hundred twenty-four million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 459791 919582 1379373 1839164 2298955 2758746 3218537 4597910 5057701 5517492 6437074 6896865 9195820 9655611 10115402 12874148 13793730 15173103 16092685 19311222 20230804 25288505 27587460 30346206 32185370 35403907 38622444 48278055 50577010 60692412 64370740 70807814 75865515 96556110 101154020 106211721 141615628 151731030 177019535 193112220 212423442 303462060 354039070 424846884 531058605 708078140 1062117210 2124234420