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2251455401 = 131782912289
BaseRepresentation
bin1000011000110010…
…0111101110101001
312210220111210012002
42012030213232221
514102333033101
61011224300345
7106536024626
oct20614475651
95726453162
102251455401
11a55984848
1252a0116b5
1329b5a9340
1417503334d
15d29d2d6b
hex86327ba9

2251455401 has 16 divisors (see below), whose sum is σ = 2570576400. Its totient is φ = 1953497088.

The previous prime is 2251455347. The next prime is 2251455403. The reversal of 2251455401 is 1045541522.

2251455401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54096025 + 2197359376 = 7355^2 + 46876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2251455401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2251455403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177065 + ... + 189353.

It is an arithmetic number, because the mean of its divisors is an integer number (160661025).

Almost surely, 22251455401 is an apocalyptic number.

It is an amenable number.

2251455401 is a deficient number, since it is larger than the sum of its proper divisors (319120999).

2251455401 is a wasteful number, since it uses less digits than its factorization.

2251455401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13148.

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 2251455401 is about 47449.5036960346. The cubic root of 2251455401 is about 1310.6531717368.

Adding to 2251455401 its reverse (1045541522), we get a palindrome (3296996923).

The spelling of 2251455401 in words is "two billion, two hundred fifty-one million, four hundred fifty-five thousand, four hundred one".

Divisors: 1 13 17 221 829 10777 12289 14093 159757 183209 208913 2715869 10187581 132438553 173188877 2251455401