Search a number
-
+
2122033120 = 25530743201
BaseRepresentation
bin111111001111011…
…1010011111100000
312110212222110012021
41332132322133200
513321220024440
6550322311224
7103404661324
oct17636723740
95425873167
102122033120
11999917989
124b27b8514
1327a8337cc
14161b83984
15c646a84a
hex7e7ba7e0

2122033120 has 48 divisors (see below), whose sum is σ = 5029749648. Its totient is φ = 846028800.

The previous prime is 2122033099. The next prime is 2122033157. The reversal of 2122033120 is 213302212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2122033094 and 2122033103.

It is a congruent number.

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, 27520 + ... + 70720.

It is an arithmetic number, because the mean of its divisors is an integer number (104786451).

Almost surely, 22122033120 is an apocalyptic number.

2122033120 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 2122033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514874824).

2122033120 is an abundant number, since it is smaller than the sum of its proper divisors (2907716528).

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

2122033120 is a wasteful number, since it uses less digits than its factorization.

2122033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43523 (or 43515 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2122033120 is about 46065.5307144073. The cubic root of 2122033120 is about 1285.0421885042.

Adding to 2122033120 its reverse (213302212), we get a palindrome (2335335332).

The spelling of 2122033120 in words is "two billion, one hundred twenty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 307 614 1228 1535 2456 3070 4912 6140 9824 12280 24560 43201 49120 86402 172804 216005 345608 432010 691216 864020 1382432 1728040 3456080 6912160 13262707 26525414 53050828 66313535 106101656 132627070 212203312 265254140 424406624 530508280 1061016560 2122033120