Search a number
-
+
2122301340 = 2232519361091
BaseRepresentation
bin111111001111111…
…1011111110011100
312110220111002010100
41332133323332130
513321302120330
6550332141100
7103410156315
oct17637737634
95426432110
102122301340
11999a90455
124b2907790
1327a8c8913
14161c1360c
15c64c0060
hex7e7fbf9c

2122301340 has 72 divisors (see below), whose sum is σ = 6471109008. Its totient is φ = 563005440.

The previous prime is 2122301299. The next prime is 2122301341. The reversal of 2122301340 is 431032212.

2122301340 is a `hidden beast` number, since 2 + 1 + 22 + 301 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122301341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4195 + ... + 65285.

It is an arithmetic number, because the mean of its divisors is an integer number (89876514).

Almost surely, 22122301340 is an apocalyptic number.

2122301340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235554504).

2122301340 is an abundant number, since it is smaller than the sum of its proper divisors (4348807668).

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

2122301340 is a wasteful number, since it uses less digits than its factorization.

2122301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61299 (or 61294 counting only the distinct ones).

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

The square root of 2122301340 is about 46068.4419098367. The cubic root of 2122301340 is about 1285.0963283276.

Adding to 2122301340 its reverse (431032212), we get a palindrome (2553333552).

The spelling of 2122301340 in words is "two billion, one hundred twenty-two million, three hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 193 386 579 772 965 1158 1737 1930 2316 2895 3474 3860 5790 6948 8685 11580 17370 34740 61091 122182 183273 244364 305455 366546 549819 610910 733092 916365 1099638 1221820 1832730 2199276 2749095 3665460 5498190 10996380 11790563 23581126 35371689 47162252 58952815 70743378 106115067 117905630 141486756 176858445 212230134 235811260 353716890 424460268 530575335 707433780 1061150670 2122301340