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2122330221 = 331123973203
BaseRepresentation
bin111111010000000…
…0011000001101101
312110220112112202000
41332200003001231
513321304031341
6550332522513
7103410336444
oct17640030155
95426475660
102122330221
1199a000120
124b2920439
1327a908acb
14161c1dd5b
15c64c88b6
hex7e80306d

2122330221 has 64 divisors (see below), whose sum is σ = 3617187840. Its totient is φ = 1217272320.

The previous prime is 2122330211. The next prime is 2122330237. The reversal of 2122330221 is 1220332212.

2122330221 is a `hidden beast` number, since 212 + 233 + 0 + 221 = 666.

It is not a de Polignac number, because 2122330221 - 29 = 2122329709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2122330194 and 2122330203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122330211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661006 + ... + 664208.

It is an arithmetic number, because the mean of its divisors is an integer number (56518560).

Almost surely, 22122330221 is an apocalyptic number.

It is an amenable number.

2122330221 is a deficient number, since it is larger than the sum of its proper divisors (1494857619).

2122330221 is a wasteful number, since it uses less digits than its factorization.

2122330221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2122330221 is about 46068.7553663001. The cubic root of 2122330221 is about 1285.1021576441.

Adding to 2122330221 its reverse (1220332212), we get a palindrome (3342662433).

The spelling of 2122330221 in words is "two billion, one hundred twenty-two million, three hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 23 27 33 69 97 99 207 253 291 297 621 759 873 1067 2231 2277 2619 3201 3203 6693 6831 9603 9609 20079 24541 28809 28827 35233 60237 73623 73669 86481 105699 220869 221007 310691 317097 662607 663021 810359 932073 951291 1989063 2431077 2796219 3417601 7145893 7293231 8388657 10252803 21437679 21879693 30758409 64313037 78604823 92275227 192939111 235814469 707443407 2122330221