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2246472 = 233241761
BaseRepresentation
bin1000100100011101001000
311020010120200
420210131020
51033341342
6120052200
725044324
oct10443510
94203520
102246472
1112a4898
12904060
13608697
14426984
152e594c
hex224748

2246472 has 48 divisors (see below), whose sum is σ = 6240780. Its totient is φ = 729600.

The previous prime is 2246471. The next prime is 2246483. The reversal of 2246472 is 2746422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1425636 + 820836 = 1194^2 + 906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2572 + ... + 3332.

22246472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120390).

2246472 is an abundant number, since it is smaller than the sum of its proper divisors (3994308).

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

2246472 is a wasteful number, since it uses less digits than its factorization.

2246472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2246472 is about 1498.8235386462. The cubic root of 2246472 is about 130.9685451740.

The spelling of 2246472 in words is "two million, two hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 761 984 1476 1522 2283 2952 3044 4566 6088 6849 9132 13698 18264 27396 31201 54792 62402 93603 124804 187206 249608 280809 374412 561618 748824 1123236 2246472