Search a number
-
+
2122338332212 = 227234731205351
BaseRepresentation
bin11110111000100101001…
…110001110111000110100
321111220010102000001020021
4132320211032032320310
5234233022103112322
64302553324014524
7306222344112400
oct36704516167064
97456112001207
102122338332212
1174909572856a
122a33a6991444
1312519c025267
1474a165a2100
153a3183c74c7
hex1ee2538ee34

2122338332212 has 36 divisors (see below), whose sum is σ = 4332925535904. Its totient is φ = 906952292400.

The previous prime is 2122338332183. The next prime is 2122338332221.

2122338332212 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21223383322123 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15534664 + ... + 15670687.

It is an arithmetic number, because the mean of its divisors is an integer number (120359042664).

Almost surely, 22122338332212 is an apocalyptic number.

It is an amenable number.

2122338332212 is an abundant number, since it is smaller than the sum of its proper divisors (2210587203692).

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

2122338332212 is a wasteful number, since it uses less digits than its factorization.

2122338332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31205716 (or 31205707 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The spelling of 2122338332212 in words is "two trillion, one hundred twenty-two billion, three hundred thirty-eight million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 196 347 694 1388 2429 4858 9716 17003 34006 68012 31205351 62410702 124821404 218437457 436874914 873749828 1529062199 3058124398 6116248796 10828256797 21656513594 43313027188 75797797579 151595595158 303191190316 530584583053 1061169166106 2122338332212