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2225223331 = 29617431693
BaseRepresentation
bin1000010010100010…
…0011011010100011
312202002011001112221
42010220203122203
514024124121311
61004450131511
7106100041402
oct20450433243
95662131487
102225223331
11a42098251
12521280b97
132960233c6
14171765639
15d0550671
hex84a236a3

2225223331 has 16 divisors (see below), whose sum is σ = 2344224960. Its totient is φ = 2109179520.

The previous prime is 2225223281. The next prime is 2225223353. The reversal of 2225223331 is 1333225222.

It is a cyclic number.

It is not a de Polignac number, because 2225223331 - 215 = 2225190563 is a prime.

It is a super-2 number, since 2×22252233312 = 9903237745653471122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2225223296 and 2225223305.

It is not an unprimeable number, because it can be changed into a prime (2225226331) 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 15 ways as a sum of consecutive naturals, for example, 1313521 + ... + 1315213.

It is an arithmetic number, because the mean of its divisors is an integer number (146514060).

Almost surely, 22225223331 is an apocalyptic number.

2225223331 is a deficient number, since it is larger than the sum of its proper divisors (119001629).

2225223331 is a wasteful number, since it uses less digits than its factorization.

2225223331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526.

The product of its digits is 4320, while the sum is 25.

The square root of 2225223331 is about 47172.2729047478. The cubic root of 2225223331 is about 1305.5430633210.

Adding to 2225223331 its reverse (1333225222), we get a palindrome (3558448553).

The spelling of 2225223331 in words is "two billion, two hundred twenty-five million, two hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 29 61 743 1693 1769 21547 45323 49097 103273 1257899 1314367 2994917 36479071 76731839 2225223331