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2122004240 = 24529914657
BaseRepresentation
bin111111001111011…
…0011011100010000
312110212220222120122
41332132303130100
513321213113430
6550321525412
7103404511166
oct17636633420
95425828518
102122004240
119998a8214
124b27a3868
1327a823615
14161b77236
15c6461ee5
hex7e7b3710

2122004240 has 40 divisors (see below), whose sum is σ = 5103791640. Its totient is φ = 819531776.

The previous prime is 2122004237. The next prime is 2122004251. The reversal of 2122004240 is 424002212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22165264 + 2099838976 = 4708^2 + 45824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455009 + ... + 459648.

It is an arithmetic number, because the mean of its divisors is an integer number (127594791).

Almost surely, 22122004240 is an apocalyptic number.

2122004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122004240 is an abundant number, since it is smaller than the sum of its proper divisors (2981787400).

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

2122004240 is a wasteful number, since it uses less digits than its factorization.

2122004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914699 (or 914693 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2122004240 is about 46065.2172468556. The cubic root of 2122004240 is about 1285.0363588455.

Adding to 2122004240 its reverse (424002212), we get a palindrome (2546006452).

The spelling of 2122004240 in words is "two billion, one hundred twenty-two million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 914657 1829314 3658628 4573285 7317256 9146570 14634512 18293140 26525053 36586280 53050106 73172560 106100212 132625265 212200424 265250530 424400848 530501060 1061002120 2122004240