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213225222340 = 22513820097009
BaseRepresentation
bin1100011010010100110…
…1101011000011000100
3202101101000212120221001
43012211031223003010
511443141124103330
6241542044303044
721255630325354
oct3064515530304
9671330776831
10213225222340
1182479096519
12353a8841a84
1317151269620
14a46a716b64
15582e5639ca
hex31a536b0c4

213225222340 has 24 divisors (see below), whose sum is σ = 482217041880. Its totient is φ = 78729312768.

The previous prime is 213225222323. The next prime is 213225222341. The reversal of 213225222340 is 43222522312.

It can be written as a sum of positive squares in 4 ways, for example, as 10020810816 + 203204411524 = 100104^2 + 450782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213225222299 and 213225222308.

It is not an unprimeable number, because it can be changed into a prime (213225222341) 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 7 ways as a sum of consecutive naturals, for example, 410048245 + ... + 410048764.

It is an arithmetic number, because the mean of its divisors is an integer number (20092376745).

Almost surely, 2213225222340 is an apocalyptic number.

213225222340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213225222340 is an abundant number, since it is smaller than the sum of its proper divisors (268991819540).

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

213225222340 is a wasteful number, since it uses less digits than its factorization.

213225222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820097031 (or 820097029 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 213225222340 its reverse (43222522312), we get a palindrome (256447744652).

The spelling of 213225222340 in words is "two hundred thirteen billion, two hundred twenty-five million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 820097009 1640194018 3280388036 4100485045 8200970090 10661261117 16401940180 21322522234 42645044468 53306305585 106612611170 213225222340