Search a number
-
+
2212133232200 = 235238772852893
BaseRepresentation
bin100000001100001101011…
…010100101111001001000
321211110220100221121000212
4200030031122211321020
5242220422101412300
64412123500220252
7315551503140623
oct40141532457110
97743810847025
102212133232200
117831845a2a11
122b8886b3a688
131307ac4c5a88
14790d4150dba
153c82173d935
hex2030d6a5e48

2212133232200 has 48 divisors (see below), whose sum is σ = 5144538163380. Its totient is φ = 884624751360.

The previous prime is 2212133232191. The next prime is 2212133232203. The reversal of 2212133232200 is 22323312122.

It can be written as a sum of positive squares in 6 ways, for example, as 498636524164 + 1713496708036 = 706142^2 + 1309006^2 .

It is not an unprimeable number, because it can be changed into a prime (2212133232203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651047 + ... + 2201846.

Almost surely, 22212133232200 is an apocalyptic number.

2212133232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212133232200 is an abundant number, since it is smaller than the sum of its proper divisors (2932404931180).

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

2212133232200 is a wasteful number, since it uses less digits than its factorization.

2212133232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856786 (or 2856777 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2212133232200 its reverse (22323312122), we get a palindrome (2234456544322).

The spelling of 2212133232200 in words is "two trillion, two hundred twelve billion, one hundred thirty-three million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3877 7754 15508 19385 31016 38770 77540 96925 155080 193850 387700 775400 2852893 5705786 11411572 14264465 22823144 28528930 57057860 71322325 114115720 142644650 285289300 570578600 11060666161 22121332322 44242664644 55303330805 88485329288 110606661610 221213323220 276516654025 442426646440 553033308050 1106066616100 2212133232200