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22946401 = 373491777
BaseRepresentation
bin101011110001…
…0001001100001
31121011210112201
41113202021201
521333241101
62135453201
7366020062
oct127421141
947153481
1022946401
1111a52a75
127827201
1349a556a
143094569
152033e01
hex15e2261

22946401 has 8 divisors (see below), whose sum is σ = 23647400. Its totient is φ = 22249728.

The previous prime is 22946393. The next prime is 22946411. The reversal of 22946401 is 10464922.

It can be written as a sum of positive squares in 4 ways, for example, as 10556001 + 12390400 = 3249^2 + 3520^2 .

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

It is not a de Polignac number, because 22946401 - 23 = 22946393 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22946401.

It is not an unprimeable number, because it can be changed into a prime (22946411) 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 7 ways as a sum of consecutive naturals, for example, 12025 + ... + 13801.

It is an arithmetic number, because the mean of its divisors is an integer number (2955925).

Almost surely, 222946401 is an apocalyptic number.

It is an amenable number.

22946401 is a deficient number, since it is larger than the sum of its proper divisors (700999).

22946401 is a wasteful number, since it uses less digits than its factorization.

22946401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 22946401 is about 4790.2401818698. The cubic root of 22946401 is about 284.1656153971.

The spelling of 22946401 in words is "twenty-two million, nine hundred forty-six thousand, four hundred one".

Divisors: 1 37 349 1777 12913 65749 620173 22946401