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2225113401 = 37223475147
BaseRepresentation
bin1000010010100000…
…1000100100111001
312202001221110202110
42010220020210321
514024112112101
61004443522533
7106066103040
oct20450104471
95661843673
102225113401
11a420226a5
12521229449
13295cb5364
14171737557
15d052ccd6
hex84a08939

2225113401 has 16 divisors (see below), whose sum is σ = 3405860864. Its totient is φ = 1265788944.

The previous prime is 2225113343. The next prime is 2225113417. The reversal of 2225113401 is 1043115222.

It is not a de Polignac number, because 2225113401 - 29 = 2225112889 is a prime.

It is a super-2 number, since 2×22251134012 = 9902259294619573602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2225113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232891 + ... + 242256.

It is an arithmetic number, because the mean of its divisors is an integer number (212866304).

Almost surely, 22225113401 is an apocalyptic number.

2225113401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2225113401 is a deficient number, since it is larger than the sum of its proper divisors (1180747463).

2225113401 is a wasteful number, since it uses less digits than its factorization.

2225113401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475380.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2225113401 is about 47171.1076931632. The cubic root of 2225113401 is about 1305.5215642486.

Adding to 2225113401 its reverse (1043115222), we get a palindrome (3268228623).

The spelling of 2225113401 in words is "two billion, two hundred twenty-five million, one hundred thirteen thousand, four hundred one".

Divisors: 1 3 7 21 223 669 1561 4683 475147 1425441 3326029 9978087 105957781 317873343 741704467 2225113401