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451013022 = 23413920029
BaseRepresentation
bin11010111000011…
…110100110011110
31011102122211120000
4122320132212132
51410424404042
6112430435130
714114355525
oct3270364636
91142584500
10451013022
11211648839
12107062aa6
1372592b15
1443c834bc
15298dd74c
hex1ae1e99e

451013022 has 40 divisors (see below), whose sum is σ = 1017924600. Its totient is φ = 149248656.

The previous prime is 451013021. The next prime is 451013023. The reversal of 451013022 is 220310154.

451013022 is a `hidden beast` number, since 4 + 510 + 130 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (451013021) and next prime (451013023).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 451012986 and 451013004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451013021) 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 19 ways as a sum of consecutive naturals, for example, 12504 + ... + 32532.

It is an arithmetic number, because the mean of its divisors is an integer number (25448115).

Almost surely, 2451013022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451013022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508962300).

451013022 is an abundant number, since it is smaller than the sum of its proper divisors (566911578).

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

451013022 is a wasteful number, since it uses less digits than its factorization.

451013022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20182 (or 20173 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 451013022 is about 21237.0671703981. The cubic root of 451013022 is about 766.8840298194.

Adding to 451013022 its reverse (220310154), we get a palindrome (671323176).

The spelling of 451013022 in words is "four hundred fifty-one million, thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3753 7506 11259 20029 22518 40058 60087 120174 180261 360522 540783 1081566 1622349 2784031 3244698 5568062 8352093 16704186 25056279 50112558 75168837 150337674 225506511 451013022