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2122416289 = 71721049143
BaseRepresentation
bin111111010000001…
…1000000010100001
312110220200220210201
41332200120002201
513321314310124
6550334425201
7103411145410
oct17640300241
95426626721
102122416289
1199a059854
124b2962201
1327a939036
14161c43477
15c64e4144
hex7e8180a1

2122416289 has 12 divisors (see below), whose sum is σ = 2576697664. Its totient is φ = 1712199744.

The previous prime is 2122416269. The next prime is 2122416293. The reversal of 2122416289 is 9826142212.

It is not a de Polignac number, because 2122416289 - 29 = 2122415777 is a prime.

It is a super-3 number, since 3×21224162893 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122416239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522549 + ... + 526594.

Almost surely, 22122416289 is an apocalyptic number.

It is an amenable number.

2122416289 is a deficient number, since it is larger than the sum of its proper divisors (454281375).

2122416289 is a wasteful number, since it uses less digits than its factorization.

2122416289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049184 (or 1049167 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 2122416289 is about 46069.6894823484. The cubic root of 2122416289 is about 1285.1195292224.

The spelling of 2122416289 in words is "two billion, one hundred twenty-two million, four hundred sixteen thousand, two hundred eighty-nine".

Divisors: 1 7 17 119 289 2023 1049143 7344001 17835431 124848017 303202327 2122416289