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2200313032200 = 2332521222396129
BaseRepresentation
bin100000000001001100111…
…000000110111000001000
321210100101121011012220200
4200001030320012320020
5242022220114012300
64402450532252200
7314652544120263
oct40011470067010
97710347135820
102200313032200
11779169387788
122b6528471060
1312c6476950aa
14786d2377cda
153c37db87200
hex2004ce06e08

2200313032200 has 72 divisors (see below), whose sum is σ = 7389384605850. Its totient is φ = 586750141440.

The previous prime is 2200313032109. The next prime is 2200313032201. The reversal of 2200313032200 is 22303130022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1897335443844 + 302977588356 = 1377438^2 + 550434^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2200313032201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 611196265 + ... + 611199864.

Almost surely, 22200313032200 is an apocalyptic number.

2200313032200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200313032200 is an abundant number, since it is smaller than the sum of its proper divisors (5189071573650).

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

2200313032200 is a wasteful number, since it uses less digits than its factorization.

2200313032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222396151 (or 1222396139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2200313032200 its reverse (22303130022), we get a palindrome (2222616162222).

The spelling of 2200313032200 in words is "two trillion, two hundred billion, three hundred thirteen million, thirty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1222396129 2444792258 3667188387 4889584516 6111980645 7334376774 9779169032 11001565161 12223961290 14668753548 18335941935 22003130322 24447922580 29337507096 30559903225 36671883870 44006260644 48895845160 55007825805 61119806450 73343767740 88012521288 91679709675 110015651610 122239612900 146687535480 183359419350 220031303220 244479225800 275039129025 366718838700 440062606440 550078258050 733437677400 1100156516100 2200313032200