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2225204424 = 2332101330509
BaseRepresentation
bin1000010010100001…
…1110110011001000
312202002010002121200
42010220132303020
514024123020144
61004445504200
7106066632312
oct20450366310
95662102550
102225204424
11a42085023
12521272060
13296017911
1417175c7b2
15d0549c69
hex84a1ecc8

2225204424 has 48 divisors (see below), whose sum is σ = 6032742300. Its totient is φ = 740978304.

The previous prime is 2225204413. The next prime is 2225204447. The reversal of 2225204424 is 4244025222.

It can be written as a sum of positive squares in 2 ways, for example, as 1189008324 + 1036196100 = 34482^2 + 32190^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 57682 + ... + 88190.

Almost surely, 22225204424 is an apocalyptic number.

2225204424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2225204424 is an abundant number, since it is smaller than the sum of its proper divisors (3807537876).

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

2225204424 is a wasteful number, since it uses less digits than its factorization.

2225204424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31534 (or 31527 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2225204424 is about 47172.0725005803. The cubic root of 2225204424 is about 1305.5393657187.

Adding to 2225204424 its reverse (4244025222), we get a palindrome (6469229646).

The spelling of 2225204424 in words is "two billion, two hundred twenty-five million, two hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1013 2026 3039 4052 6078 8104 9117 12156 18234 24312 30509 36468 61018 72936 91527 122036 183054 244072 274581 366108 549162 732216 1098324 2196648 30905617 61811234 92716851 123622468 185433702 247244936 278150553 370867404 556301106 741734808 1112602212 2225204424