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2202400031 = 13179965611
BaseRepresentation
bin1000001101000101…
…1111010100011111
312200111012111212112
42003101133110133
514002303300111
61002313024235
7105402043226
oct20321372437
95614174775
102202400031
11a30219817
125156b507b
13291391bb0
1416c703cbd
15cd542e8b
hex8345f51f

2202400031 has 8 divisors (see below), whose sum is σ = 2511334224. Its totient is φ = 1913397120.

The previous prime is 2202400027. The next prime is 2202400033. The reversal of 2202400031 is 1300042022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2202400031 - 22 = 2202400027 is a prime.

It is a super-2 number, since 2×22024000312 = 9701131793097601922, 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 = 2202399979 and 2202400015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202400033) 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, 4982585 + ... + 4983026.

It is an arithmetic number, because the mean of its divisors is an integer number (313916778).

Almost surely, 22202400031 is an apocalyptic number.

2202400031 is a deficient number, since it is larger than the sum of its proper divisors (308934193).

2202400031 is a wasteful number, since it uses less digits than its factorization.

2202400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965641.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2202400031 is about 46929.7350408033. The cubic root of 2202400031 is about 1301.0642234252.

Adding to 2202400031 its reverse (1300042022), we get a palindrome (3502442053).

The spelling of 2202400031 in words is "two billion, two hundred two million, four hundred thousand, thirty-one".

Divisors: 1 13 17 221 9965611 129552943 169415387 2202400031