Search a number
-
+
2200212012020 = 2251145827218233
BaseRepresentation
bin100000000001000110110…
…110101111101111110100
321210100010120001212021112
4200001012312233233310
5242022013233341040
64402432523134152
7314650206345641
oct40010666575764
97710116055245
102200212012020
11779117359830
122b64ba674358
1312c62c785139
14786c2b9cdc8
153c374d80365
hex20046dafbf4

2200212012020 has 48 divisors (see below), whose sum is σ = 5040618787008. Its totient is φ = 800055970560.

The previous prime is 2200212012013. The next prime is 2200212012041. The reversal of 2200212012020 is 202102120022.

2200212012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2200212011986 and 2200212012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9972824 + ... + 10191056.

It is an arithmetic number, because the mean of its divisors is an integer number (105012891396).

Almost surely, 22200212012020 is an apocalyptic number.

2200212012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200212012020 is an abundant number, since it is smaller than the sum of its proper divisors (2840406774988).

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

2200212012020 is a wasteful number, since it uses less digits than its factorization.

2200212012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264080 (or 264078 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2200212012020 its reverse (202102120022), we get a palindrome (2402314132042).

The spelling of 2200212012020 in words is "two trillion, two hundred billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 45827 91654 183308 218233 229135 436466 458270 504097 872932 916540 1008194 1091165 2016388 2182330 2400563 2520485 4364660 4801126 5040970 9602252 10081940 12002815 24005630 48011260 10000963691 20001927382 40003854764 50004818455 100009636910 110010600601 200019273820 220021201202 440042402404 550053003005 1100106006010 2200212012020